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Finding the Third Proportional to 54,188,478 and 82,553,108

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Solution

The third proportional to 54,188,478 and 82,553,108 is: 125,765,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,188,478 : 82,553,108 = 82,553,108 : x
  2. Step 2: Convert to fraction form
    54,188,478/82,553,108 = 82,553,108/x
  3. Step 3: Cross multiply
    54,188,478x = 82,553,108 × 82,553,108
  4. Step 4: Simplify right side
    54,188,478x = 6,815,015,640,459,664
  5. Step 5: Solve for x
    x = 6,815,015,640,459,664/54,188,478
  6. Step 6: Final answer
    x = 125,765,031.46

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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.