To compare the two numbers, we can convert them into scientific notation.
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For 34,835,760: \[ 34,835,760 = 3.4835760 \times 10^7 \]
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For 43,835,760: \[ 43,835,760 = 4.3835760 \times 10^7 \]
Now we can compare the two numbers in scientific notation. Both numbers have the same exponent \(10^7\), so we only need to compare the coefficients:
- \(3.4835760\) and \(4.3835760\)
Since \(4.3835760 > 3.4835760\), we conclude that:
\[ 43,835,760 > 34,835,760 \]
In scientific notation, we express this as:
\[ 4.3835760 \times 10^7 \]
Thus, the greater number is \( \boxed{4.3835760 \times 10^7} \).