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Finding the Third Proportional to 31,726,054.75 and 42,805,897

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Solution

The third proportional to 31,726,054.75 and 42,805,897 is: 57,755,205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,726,054.75 : 42,805,897 = 42,805,897 : x
  2. Step 2: Convert to fraction form
    31,726,054.75/42,805,897 = 42,805,897/x
  3. Step 3: Cross multiply
    31,726,054.75x = 42,805,897 × 42,805,897
  4. Step 4: Simplify right side
    31,726,054.75x = 1,832,344,817,974,609
  5. Step 5: Solve for x
    x = 1,832,344,817,974,609/31,726,054.75
  6. Step 6: Final answer
    x = 57,755,205.69

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.