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Finding the Third Proportional to 38,078,750 and 82,217,151

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Solution

The third proportional to 38,078,750 and 82,217,151 is: 177,517,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,078,750 : 82,217,151 = 82,217,151 : x
  2. Step 2: Convert to fraction form
    38,078,750/82,217,151 = 82,217,151/x
  3. Step 3: Cross multiply
    38,078,750x = 82,217,151 × 82,217,151
  4. Step 4: Simplify right side
    38,078,750x = 6,759,659,918,556,801
  5. Step 5: Solve for x
    x = 6,759,659,918,556,801/38,078,750
  6. Step 6: Final answer
    x = 177,517,904.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.