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Finding the Third Proportional to 5,711,260.50 and 12,464,309.25

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Solution

The third proportional to 5,711,260.50 and 12,464,309.25 is: 27,202,227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711,260.50 : 12,464,309.25 = 12,464,309.25 : x
  2. Step 2: Convert to fraction form
    5,711,260.50/12,464,309.25 = 12,464,309.25/x
  3. Step 3: Cross multiply
    5,711,260.50x = 12,464,309.25 × 12,464,309.25
  4. Step 4: Simplify right side
    5,711,260.50x = 155,359,005,079,635.56
  5. Step 5: Solve for x
    x = 155,359,005,079,635.56/5,711,260.50
  6. Step 6: Final answer
    x = 27,202,227.09

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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.