Metric Ton to Carat Converter
Weight · unit-converter
Convert Metric Ton to Carat with a fixed input and output unit, step-by-step formula line, and reference tables. All calculations use gram-based factors (international avoirdupois pound and metric definitions). The full Weight Converter also includes carat, grain, and US/UK hundredweight.
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From: Metric Ton (t)
To: Carat (ct)
About Metric Ton
The metric ton (tonne) is 1,000 kilograms or one million grams. It is standard for freight, agriculture, and industrial mass in most metric countries.
About Carat
The metric carat is exactly 0.2 grams (200 mg), commonly used for gemstones and jewelry.
How to convert metric tons to carats
1 metric ton is equal to 5000000 carat:
1 t = (1000000 g ÷ 0.2 g) ct = 5000000 ct
Each metric ton is defined as 1000000 g and each carat as 0.2 g, so one t equals 1000000 ÷ 0.2 ct = 5000000 ct.
Let w(t) be the numeric value of the same mass measured in Metric Ton (t), and w(ct) the value in Carat (ct). Then:
w(ct) = w(t) × (1000000 / 0.2)
Equivalently, divide by how many t fit into one ct (grams per ct divided by grams per t):
w(ct) = w(t) ÷ 2.00000000e-7
Or: carat = metric ton ÷ 2.00000000e-7
Examples
Example #1: Convert 20 t to carat
20 t = 20 t × (1000000/0.2) ct = 100000000 ct
20 t = 20 t ÷ 2.00000000e-7 = 100000000 ct
Example #2: Convert 50 t to carat
50 t = 50 t × (1000000/0.2) ct = 250000000 ct
50 t = 50 t ÷ 2.00000000e-7 = 250000000 ct
Summary
To convert Metric Ton to Carat, multiply the value in t by the ratio of grams per t divided by grams per ct. Equivalently: value_ct = value_t × (1000000 / 0.2). Numerically, 1 t equals 5000000 ct.
Relationship context
Both units are metric (SI) and tied to the gram via the kilogram. Conversions use exact ratios from their gram definitions. The factor from Metric Ton to Carat is 5.000000e+6 (1 t = 5000000 ct).
Conversion tables
| Metric Ton (t) | Carat (ct) |
|---|---|
| 0.1 | 500,000 |
| 1 | 5,000,000 |
| 2 | 10,000,000 |
| 3 | 15,000,000 |
| 4 | 20,000,000 |
| 5 | 25,000,000 |
| 6 | 30,000,000 |
| 7 | 35,000,000 |
| 8 | 40,000,000 |
| 9 | 45,000,000 |
| Metric Ton (t) | Carat (ct) |
|---|---|
| 10 | 50,000,000 |
| 20 | 100,000,000 |
| 30 | 150,000,000 |
| 40 | 200,000,000 |
| 50 | 250,000,000 |
| 60 | 300,000,000 |
| 70 | 350,000,000 |
| 80 | 400,000,000 |
| 90 | 450,000,000 |
| 100 | 500,000,000 |