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Finding the Third Proportional to 8,272,470 and 17,498,748

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Solution

The third proportional to 8,272,470 and 17,498,748 is: 37,015,085.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272,470 : 17,498,748 = 17,498,748 : x
  2. Step 2: Convert to fraction form
    8,272,470/17,498,748 = 17,498,748/x
  3. Step 3: Cross multiply
    8,272,470x = 17,498,748 × 17,498,748
  4. Step 4: Simplify right side
    8,272,470x = 306,206,181,567,504
  5. Step 5: Solve for x
    x = 306,206,181,567,504/8,272,470
  6. Step 6: Final answer
    x = 37,015,085.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.