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Finding the Third Proportional to 38,204,737.50 and 54,007,743

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Solution

The third proportional to 38,204,737.50 and 54,007,743 is: 76,347,502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,204,737.50 : 54,007,743 = 54,007,743 : x
  2. Step 2: Convert to fraction form
    38,204,737.50/54,007,743 = 54,007,743/x
  3. Step 3: Cross multiply
    38,204,737.50x = 54,007,743 × 54,007,743
  4. Step 4: Simplify right side
    38,204,737.50x = 2,916,836,303,954,049
  5. Step 5: Solve for x
    x = 2,916,836,303,954,049/38,204,737.50
  6. Step 6: Final answer
    x = 76,347,502.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.