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Finding the Third Proportional to 8,162,169.75 and 12,200,604.75

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Solution

The third proportional to 8,162,169.75 and 12,200,604.75 is: 18,237,155.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162,169.75 : 12,200,604.75 = 12,200,604.75 : x
  2. Step 2: Convert to fraction form
    8,162,169.75/12,200,604.75 = 12,200,604.75/x
  3. Step 3: Cross multiply
    8,162,169.75x = 12,200,604.75 × 12,200,604.75
  4. Step 4: Simplify right side
    8,162,169.75x = 148,854,756,265,722.56
  5. Step 5: Solve for x
    x = 148,854,756,265,722.56/8,162,169.75
  6. Step 6: Final answer
    x = 18,237,155.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.