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Finding the Third Proportional to 5,667,019 and 8,517,136.50

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Solution

The third proportional to 5,667,019 and 8,517,136.50 is: 12,800,665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667,019 : 8,517,136.50 = 8,517,136.50 : x
  2. Step 2: Convert to fraction form
    5,667,019/8,517,136.50 = 8,517,136.50/x
  3. Step 3: Cross multiply
    5,667,019x = 8,517,136.50 × 8,517,136.50
  4. Step 4: Simplify right side
    5,667,019x = 72,541,614,159,632.25
  5. Step 5: Solve for x
    x = 72,541,614,159,632.25/5,667,019
  6. Step 6: Final answer
    x = 12,800,665.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.