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Finding the Third Proportional to 38,862,724.50 and 83,106,288.38

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Solution

The third proportional to 38,862,724.50 and 83,106,288.38 is: 177,719,273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,862,724.50 : 83,106,288.38 = 83,106,288.38 : x
  2. Step 2: Convert to fraction form
    38,862,724.50/83,106,288.38 = 83,106,288.38/x
  3. Step 3: Cross multiply
    38,862,724.50x = 83,106,288.38 × 83,106,288.38
  4. Step 4: Simplify right side
    38,862,724.50x = 6,906,655,167,468,660
  5. Step 5: Solve for x
    x = 6,906,655,167,468,660/38,862,724.50
  6. Step 6: Final answer
    x = 177,719,273.58

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