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Finding the Third Proportional to 4,384,689 and 9,566,163

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Solution

The third proportional to 4,384,689 and 9,566,163 is: 20,870,687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384,689 : 9,566,163 = 9,566,163 : x
  2. Step 2: Convert to fraction form
    4,384,689/9,566,163 = 9,566,163/x
  3. Step 3: Cross multiply
    4,384,689x = 9,566,163 × 9,566,163
  4. Step 4: Simplify right side
    4,384,689x = 91,511,474,542,569
  5. Step 5: Solve for x
    x = 91,511,474,542,569/4,384,689
  6. Step 6: Final answer
    x = 20,870,687.65

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Why These Related Problems?

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