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Finding the Third Proportional to 57,832,926 and 77,101,965

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Solution

The third proportional to 57,832,926 and 77,101,965 is: 102,791,150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,832,926 : 77,101,965 = 77,101,965 : x
  2. Step 2: Convert to fraction form
    57,832,926/77,101,965 = 77,101,965/x
  3. Step 3: Cross multiply
    57,832,926x = 77,101,965 × 77,101,965
  4. Step 4: Simplify right side
    57,832,926x = 5,944,713,006,861,225
  5. Step 5: Solve for x
    x = 5,944,713,006,861,225/57,832,926
  6. Step 6: Final answer
    x = 102,791,150.61

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.