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Finding the Third Proportional to 5,889,318.75 and 12,724,229.75

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Solution

The third proportional to 5,889,318.75 and 12,724,229.75 is: 27,491,468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889,318.75 : 12,724,229.75 = 12,724,229.75 : x
  2. Step 2: Convert to fraction form
    5,889,318.75/12,724,229.75 = 12,724,229.75/x
  3. Step 3: Cross multiply
    5,889,318.75x = 12,724,229.75 × 12,724,229.75
  4. Step 4: Simplify right side
    5,889,318.75x = 161,906,022,730,785.06
  5. Step 5: Solve for x
    x = 161,906,022,730,785.06/5,889,318.75
  6. Step 6: Final answer
    x = 27,491,468.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.