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Finding the Third Proportional to 38,819,585.81 and 83,092,319.44

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Solution

The third proportional to 38,819,585.81 and 83,092,319.44 is: 177,856,960.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,819,585.81 : 83,092,319.44 = 83,092,319.44 : x
  2. Step 2: Convert to fraction form
    38,819,585.81/83,092,319.44 = 83,092,319.44/x
  3. Step 3: Cross multiply
    38,819,585.81x = 83,092,319.44 × 83,092,319.44
  4. Step 4: Simplify right side
    38,819,585.81x = 6,904,333,549,503,540
  5. Step 5: Solve for x
    x = 6,904,333,549,503,540/38,819,585.81
  6. Step 6: Final answer
    x = 177,856,960.73

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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.