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Finding the Third Proportional to 19,397,976 and 29,177,952

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Solution

The third proportional to 19,397,976 and 29,177,952 is: 43,888,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,397,976 : 29,177,952 = 29,177,952 : x
  2. Step 2: Convert to fraction form
    19,397,976/29,177,952 = 29,177,952/x
  3. Step 3: Cross multiply
    19,397,976x = 29,177,952 × 29,177,952
  4. Step 4: Simplify right side
    19,397,976x = 851,352,882,914,304
  5. Step 5: Solve for x
    x = 851,352,882,914,304/19,397,976
  6. Step 6: Final answer
    x = 43,888,748.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.