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Finding the Third Proportional to 38,819,605 and 83,092,442

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Solution

The third proportional to 38,819,605 and 83,092,442 is: 177,857,397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,819,605 : 83,092,442 = 83,092,442 : x
  2. Step 2: Convert to fraction form
    38,819,605/83,092,442 = 83,092,442/x
  3. Step 3: Cross multiply
    38,819,605x = 83,092,442 × 83,092,442
  4. Step 4: Simplify right side
    38,819,605x = 6,904,353,917,523,364
  5. Step 5: Solve for x
    x = 6,904,353,917,523,364/38,819,605
  6. Step 6: Final answer
    x = 177,857,397.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.