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Finding the Third Proportional to 5,509,891.50 and 8,687,414.50

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Solution

The third proportional to 5,509,891.50 and 8,687,414.50 is: 13,697,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509,891.50 : 8,687,414.50 = 8,687,414.50 : x
  2. Step 2: Convert to fraction form
    5,509,891.50/8,687,414.50 = 8,687,414.50/x
  3. Step 3: Cross multiply
    5,509,891.50x = 8,687,414.50 × 8,687,414.50
  4. Step 4: Simplify right side
    5,509,891.50x = 75,471,170,694,810.25
  5. Step 5: Solve for x
    x = 75,471,170,694,810.25/5,509,891.50
  6. Step 6: Final answer
    x = 13,697,396.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.