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Finding the Third Proportional to 5,722,867.50 and 12,439,723.50

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Solution

The third proportional to 5,722,867.50 and 12,439,723.50 is: 27,040,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722,867.50 : 12,439,723.50 = 12,439,723.50 : x
  2. Step 2: Convert to fraction form
    5,722,867.50/12,439,723.50 = 12,439,723.50/x
  3. Step 3: Cross multiply
    5,722,867.50x = 12,439,723.50 × 12,439,723.50
  4. Step 4: Simplify right side
    5,722,867.50x = 154,746,720,756,452.25
  5. Step 5: Solve for x
    x = 154,746,720,756,452.25/5,722,867.50
  6. Step 6: Final answer
    x = 27,040,067.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.