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Finding the Third Proportional to 57,832,921.50 and 77,101,958.25

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Solution

The third proportional to 57,832,921.50 and 77,101,958.25 is: 102,791,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,832,921.50 : 77,101,958.25 = 77,101,958.25 : x
  2. Step 2: Convert to fraction form
    57,832,921.50/77,101,958.25 = 77,101,958.25/x
  3. Step 3: Cross multiply
    57,832,921.50x = 77,101,958.25 × 77,101,958.25
  4. Step 4: Simplify right side
    57,832,921.50x = 5,944,711,965,984,743
  5. Step 5: Solve for x
    x = 5,944,711,965,984,743/57,832,921.50
  6. Step 6: Final answer
    x = 102,791,140.61

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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.