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Finding the Third Proportional to 38,819,606 and 83,092,366

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Solution

The third proportional to 38,819,606 and 83,092,366 is: 177,857,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,819,606 : 83,092,366 = 83,092,366 : x
  2. Step 2: Convert to fraction form
    38,819,606/83,092,366 = 83,092,366/x
  3. Step 3: Cross multiply
    38,819,606x = 83,092,366 × 83,092,366
  4. Step 4: Simplify right side
    38,819,606x = 6,904,341,287,477,956
  5. Step 5: Solve for x
    x = 6,904,341,287,477,956/38,819,606
  6. Step 6: Final answer
    x = 177,857,067.57

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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.