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Finding the Third Proportional to 16,654,521.38 and 37,138,400.02

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Solution

The third proportional to 16,654,521.38 and 37,138,400.02 is: 82,815,994.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,654,521.38 : 37,138,400.02 = 37,138,400.02 : x
  2. Step 2: Convert to fraction form
    16,654,521.38/37,138,400.02 = 37,138,400.02/x
  3. Step 3: Cross multiply
    16,654,521.38x = 37,138,400.02 × 37,138,400.02
  4. Step 4: Simplify right side
    16,654,521.38x = 1,379,260,755,720,500.75
  5. Step 5: Solve for x
    x = 1,379,260,755,720,500.75/16,654,521.38
  6. Step 6: Final answer
    x = 82,815,994.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.