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Finding the Third Proportional to 54,188,472 and 82,553,102

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Solution

The third proportional to 54,188,472 and 82,553,102 is: 125,765,027.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,188,472 : 82,553,102 = 82,553,102 : x
  2. Step 2: Convert to fraction form
    54,188,472/82,553,102 = 82,553,102/x
  3. Step 3: Cross multiply
    54,188,472x = 82,553,102 × 82,553,102
  4. Step 4: Simplify right side
    54,188,472x = 6,815,014,649,822,404
  5. Step 5: Solve for x
    x = 6,815,014,649,822,404/54,188,472
  6. Step 6: Final answer
    x = 125,765,027.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.