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Finding the Third Proportional to 52,250,690 and 82,383,371

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Solution

The third proportional to 52,250,690 and 82,383,371 is: 129,893,400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,250,690 : 82,383,371 = 82,383,371 : x
  2. Step 2: Convert to fraction form
    52,250,690/82,383,371 = 82,383,371/x
  3. Step 3: Cross multiply
    52,250,690x = 82,383,371 × 82,383,371
  4. Step 4: Simplify right side
    52,250,690x = 6,787,019,817,323,641
  5. Step 5: Solve for x
    x = 6,787,019,817,323,641/52,250,690
  6. Step 6: Final answer
    x = 129,893,400.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.