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Finding the Third Proportional to 61,917,897 and 144,588,741

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Solution

The third proportional to 61,917,897 and 144,588,741 is: 337,639,116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,917,897 : 144,588,741 = 144,588,741 : x
  2. Step 2: Convert to fraction form
    61,917,897/144,588,741 = 144,588,741/x
  3. Step 3: Cross multiply
    61,917,897x = 144,588,741 × 144,588,741
  4. Step 4: Simplify right side
    61,917,897x = 20,905,904,023,965,080
  5. Step 5: Solve for x
    x = 20,905,904,023,965,080/61,917,897
  6. Step 6: Final answer
    x = 337,639,116.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.