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Finding the Third Proportional to 7,475,920 and 11,361,624

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Solution

The third proportional to 7,475,920 and 11,361,624 is: 17,266,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475,920 : 11,361,624 = 11,361,624 : x
  2. Step 2: Convert to fraction form
    7,475,920/11,361,624 = 11,361,624/x
  3. Step 3: Cross multiply
    7,475,920x = 11,361,624 × 11,361,624
  4. Step 4: Simplify right side
    7,475,920x = 129,086,499,917,376
  5. Step 5: Solve for x
    x = 129,086,499,917,376/7,475,920
  6. Step 6: Final answer
    x = 17,266,971.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.