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Finding the Third Proportional to 37,652,978 and 82,211,092

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Solution

The third proportional to 37,652,978 and 82,211,092 is: 179,498,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,652,978 : 82,211,092 = 82,211,092 : x
  2. Step 2: Convert to fraction form
    37,652,978/82,211,092 = 82,211,092/x
  3. Step 3: Cross multiply
    37,652,978x = 82,211,092 × 82,211,092
  4. Step 4: Simplify right side
    37,652,978x = 6,758,663,647,832,464
  5. Step 5: Solve for x
    x = 6,758,663,647,832,464/37,652,978
  6. Step 6: Final answer
    x = 179,498,780.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.