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Finding the Third Proportional to 52,250,688 and 82,383,368

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Solution

The third proportional to 52,250,688 and 82,383,368 is: 129,893,396.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,250,688 : 82,383,368 = 82,383,368 : x
  2. Step 2: Convert to fraction form
    52,250,688/82,383,368 = 82,383,368/x
  3. Step 3: Cross multiply
    52,250,688x = 82,383,368 × 82,383,368
  4. Step 4: Simplify right side
    52,250,688x = 6,787,019,323,023,424
  5. Step 5: Solve for x
    x = 6,787,019,323,023,424/52,250,688
  6. Step 6: Final answer
    x = 129,893,396.29

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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.