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Finding the Third Proportional to 4,469,924 and 9,654,314

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Solution

The third proportional to 4,469,924 and 9,654,314 is: 20,851,759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469,924 : 9,654,314 = 9,654,314 : x
  2. Step 2: Convert to fraction form
    4,469,924/9,654,314 = 9,654,314/x
  3. Step 3: Cross multiply
    4,469,924x = 9,654,314 × 9,654,314
  4. Step 4: Simplify right side
    4,469,924x = 93,205,778,810,596
  5. Step 5: Solve for x
    x = 93,205,778,810,596/4,469,924
  6. Step 6: Final answer
    x = 20,851,759.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.