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Finding the Third Proportional to 12,667,414.50 and 27,679,605.19

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Solution

The third proportional to 12,667,414.50 and 27,679,605.19 is: 60,482,787.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667,414.50 : 27,679,605.19 = 27,679,605.19 : x
  2. Step 2: Convert to fraction form
    12,667,414.50/27,679,605.19 = 27,679,605.19/x
  3. Step 3: Cross multiply
    12,667,414.50x = 27,679,605.19 × 27,679,605.19
  4. Step 4: Simplify right side
    12,667,414.50x = 766,160,543,335,876.88
  5. Step 5: Solve for x
    x = 766,160,543,335,876.88/12,667,414.50
  6. Step 6: Final answer
    x = 60,482,787.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.