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Finding the Third Proportional to 37,732,656,073 and 80,765,853,650

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Solution

The third proportional to 37,732,656,073 and 80,765,853,650 is: 172,877,390,427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,732,656,073 : 80,765,853,650 = 80,765,853,650 : x
  2. Step 2: Convert to fraction form
    37,732,656,073/80,765,853,650 = 80,765,853,650/x
  3. Step 3: Cross multiply
    37,732,656,073x = 80,765,853,650 × 80,765,853,650
  4. Step 4: Simplify right side
    37,732,656,073x = 6,523,123,115,813,218,811,904
  5. Step 5: Solve for x
    x = 6,523,123,115,813,218,811,904/37,732,656,073
  6. Step 6: Final answer
    x = 172,877,390,427.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.