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Finding the Third Proportional to 38,819,604.38 and 83,092,361.63

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Solution

The third proportional to 38,819,604.38 and 83,092,361.63 is: 177,857,056.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,819,604.38 : 83,092,361.63 = 83,092,361.63 : x
  2. Step 2: Convert to fraction form
    38,819,604.38/83,092,361.63 = 83,092,361.63/x
  3. Step 3: Cross multiply
    38,819,604.38x = 83,092,361.63 × 83,092,361.63
  4. Step 4: Simplify right side
    38,819,604.38x = 6,904,340,560,419,773
  5. Step 5: Solve for x
    x = 6,904,340,560,419,773/38,819,604.38
  6. Step 6: Final answer
    x = 177,857,056.29

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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.