To compare the numbers using scientific notation, we first convert each of the provided numbers into scientific notation.
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12,740,876,635:
- This can be expressed as \(1.2740876635 \times 10^{10}\).
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1,345,763,334:
- This can be expressed as \(1.345763334 \times 10^{9}\).
-
12,920,370,000:
- This can be expressed as \(1.292037 \times 10^{10}\).
Now, we'll compare the numbers represented in scientific notation:
- \(1.2740876635 \times 10^{10}\) corresponds to 12,740,876,635.
- \(1.345763334 \times 10^{9}\) corresponds to 1,345,763,334.
- \(1.292037 \times 10^{10}\) corresponds to 12,920,370,000.
To compare these, we note that \(10^{10}\) is greater than \(10^{9}\). Hence, any number with a base of \(10^{10}\) is greater than a number with a base of \(10^{9}\).
Now we compare the coefficients of the numbers with the same exponent:
- For \(1.2740876635 \times 10^{10}\) and \(1.292037 \times 10^{10}\):
- \(1.2740876635 < 1.292037\)
Thus, \(1.292037 \times 10^{10}\) (which is 12,920,370,000) is greater than \(1.2740876635 \times 10^{10}\) (which is 12,740,876,635).
In conclusion, the number with the greatest value among the three is:
12,920,370,000 which is represented in scientific notation as \(1.292037 \times 10^{10}\).