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Finding the Third Proportional to 31,498,726.50 and 65,511,693

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Solution

The third proportional to 31,498,726.50 and 65,511,693 is: 136,252,553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498,726.50 : 65,511,693 = 65,511,693 : x
  2. Step 2: Convert to fraction form
    31,498,726.50/65,511,693 = 65,511,693/x
  3. Step 3: Cross multiply
    31,498,726.50x = 65,511,693 × 65,511,693
  4. Step 4: Simplify right side
    31,498,726.50x = 4,291,781,919,726,249
  5. Step 5: Solve for x
    x = 4,291,781,919,726,249/31,498,726.50
  6. Step 6: Final answer
    x = 136,252,553.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.