To compare the numbers using scientific notation, we'll convert each number:
- 12,740,876,635 can be written as \( 1.2740876635 \times 10^{10} \).
- 1,345,763,334 can be written as \( 1.345763334 \times 10^{9} \).
- 12,920,370,000 can be written as \( 1.292037 \times 10^{10} \).
Now, let's compare the coefficients and the powers of ten:
- \( 1.2740876635 \times 10^{10} \) has a power of \( 10^{10} \).
- \( 1.345763334 \times 10^{9} \) has a power of \( 10^{9} \).
- \( 1.292037 \times 10^{10} \) has a power of \( 10^{10} \).
Since the two numbers \( 12,740,876,635 \) and \( 12,920,370,000 \) have the same power of \( 10^{10} \), we can compare their coefficients directly:
- \( 1.2740876635 \) (for 12,740,876,635) is less than \( 1.292037 \) (for 12,920,370,000).
Now, for \( 1,345,763,334 \), since it is in scientific notation with \( 10^{9} \), it is lower in value compared to both of the others since \( 10^{9} \) is less than \( 10^{10} \).
Conclusion: The number with the greatest value is 12,920,370,000.