Finding the Third Proportional to 72,755,517,820 and 159,226,516,930
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Solution
The third proportional to 72,755,517,820 and 159,226,516,930 is: 348,469,565,653.89
Step by Step Solution
- Step 1: Write the proportion equation
72,755,517,820 : 159,226,516,930 = 159,226,516,930 : x - Step 2: Convert to fraction form
72,755,517,820/159,226,516,930 = 159,226,516,930/x - Step 3: Cross multiply
72,755,517,820x = 159,226,516,930 × 159,226,516,930 - Step 4: Simplify right side
72,755,517,820x = 25,353,083,693,659,576,074,240 - Step 5: Solve for x
x = 25,353,083,693,659,576,074,240/72,755,517,820 - Step 6: Final answer
x = 348,469,565,653.89
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.