To compare the two numbers \( 34,835,760 \) and \( 43,835,760 \) using scientific notation, we first convert both numbers into scientific notation.
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Convert \( 34,835,760 \) to scientific notation: \[ 34,835,760 = 3.483576 \times 10^7 \]
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Convert \( 43,835,760 \) to scientific notation: \[ 43,835,760 = 4.383576 \times 10^7 \]
Now we can compare the two numbers in scientific notation:
- \( 3.483576 \times 10^7 \)
- \( 4.383576 \times 10^7 \)
Since both numbers are multiplied by \( 10^7 \), we can directly compare the coefficients:
- \( 3.483576 < 4.383576 \)
Thus, \( 4.383576 \times 10^7 \) (which is \( 43,835,760 \)) is greater than \( 3.483576 \times 10^7 \) (which is \( 34,835,760 \)).
Conclusion:
The greater number is \( 43,835,760 \), and in scientific notation, it is \[ \mathbf{4.383576 \times 10^7} \]