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To determine how many times greater \( 9.75 \times 10^6 \) is than \( 1.25 \times 10^2 \), you can divide the first number by the second number:
\[
\frac{9.75 \times 10^6}{1.25 \times 10^2}
\]
This simplifies to:
\[
\frac{9.75}{1.25} \times \frac{10^6}{10^2}
\]
Calculating \( \frac{9.75}{1.25} \):
\[
= 7.8
\]
Calculating \( \frac{10^6}{10^2} \):
\[
= 10^{6-2} = 10^4
\]
Now combine the two results:
\[
7.8 \times 10^4
\]
Now express \( 7.8 \times 10^4 \) in standard form:
\[
= 78,000
\]
Therefore, \( 9.75 \times 10^6 \) is **78,000** times greater than \( 1.25 \times 10^2 \).
The correct response is:
**78,000**