Finding the Third Proportional to 5,372,267,823 and 11,560,829,022
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Solution
The third proportional to 5,372,267,823 and 11,560,829,022 is: 24,878,277,122.32
Step by Step Solution
- Step 1: Write the proportion equation
5,372,267,823 : 11,560,829,022 = 11,560,829,022 : x - Step 2: Convert to fraction form
5,372,267,823/11,560,829,022 = 11,560,829,022/x - Step 3: Cross multiply
5,372,267,823x = 11,560,829,022 × 11,560,829,022 - Step 4: Simplify right side
5,372,267,823x = 133,652,767,675,917,484,032 - Step 5: Solve for x
x = 133,652,767,675,917,484,032/5,372,267,823 - Step 6: Final answer
x = 24,878,277,122.32
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.