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Finding the Third Proportional to 5,744,976 and 8,736,830

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Solution

The third proportional to 5,744,976 and 8,736,830 is: 13,286,774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744,976 : 8,736,830 = 8,736,830 : x
  2. Step 2: Convert to fraction form
    5,744,976/8,736,830 = 8,736,830/x
  3. Step 3: Cross multiply
    5,744,976x = 8,736,830 × 8,736,830
  4. Step 4: Simplify right side
    5,744,976x = 76,332,198,448,900
  5. Step 5: Solve for x
    x = 76,332,198,448,900/5,744,976
  6. Step 6: Final answer
    x = 13,286,774.12

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