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Finding the Third Proportional to 4,206,162.94 and 9,150,423.19

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Solution

The third proportional to 4,206,162.94 and 9,150,423.19 is: 19,906,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206,162.94 : 9,150,423.19 = 9,150,423.19 : x
  2. Step 2: Convert to fraction form
    4,206,162.94/9,150,423.19 = 9,150,423.19/x
  3. Step 3: Cross multiply
    4,206,162.94x = 9,150,423.19 × 9,150,423.19
  4. Step 4: Simplify right side
    4,206,162.94x = 83,730,244,510,337.66
  5. Step 5: Solve for x
    x = 83,730,244,510,337.66/4,206,162.94
  6. Step 6: Final answer
    x = 19,906,562.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.