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Finding the Third Proportional to 37,732,656,069 and 80,765,853,642

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Solution

The third proportional to 37,732,656,069 and 80,765,853,642 is: 172,877,390,411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,732,656,069 : 80,765,853,642 = 80,765,853,642 : x
  2. Step 2: Convert to fraction form
    37,732,656,069/80,765,853,642 = 80,765,853,642/x
  3. Step 3: Cross multiply
    37,732,656,069x = 80,765,853,642 × 80,765,853,642
  4. Step 4: Simplify right side
    37,732,656,069x = 6,523,123,114,520,964,235,264
  5. Step 5: Solve for x
    x = 6,523,123,114,520,964,235,264/37,732,656,069
  6. Step 6: Final answer
    x = 172,877,390,411.97

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