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Finding the Third Proportional to 38,427,084 and 83,677,092.75

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Solution

The third proportional to 38,427,084 and 83,677,092.75 is: 182,211,480.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,427,084 : 83,677,092.75 = 83,677,092.75 : x
  2. Step 2: Convert to fraction form
    38,427,084/83,677,092.75 = 83,677,092.75/x
  3. Step 3: Cross multiply
    38,427,084x = 83,677,092.75 × 83,677,092.75
  4. Step 4: Simplify right side
    38,427,084x = 7,001,855,851,092,103
  5. Step 5: Solve for x
    x = 7,001,855,851,092,103/38,427,084
  6. Step 6: Final answer
    x = 182,211,480.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.