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Finding the Third Proportional to 4,486,625 and 9,785,266

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Solution

The third proportional to 4,486,625 and 9,785,266 is: 21,341,527.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,625 : 9,785,266 = 9,785,266 : x
  2. Step 2: Convert to fraction form
    4,486,625/9,785,266 = 9,785,266/x
  3. Step 3: Cross multiply
    4,486,625x = 9,785,266 × 9,785,266
  4. Step 4: Simplify right side
    4,486,625x = 95,751,430,690,756
  5. Step 5: Solve for x
    x = 95,751,430,690,756/4,486,625
  6. Step 6: Final answer
    x = 21,341,527.47

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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.