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Finding the Third Proportional to 17,873,424 and 38,580,696

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Solution

The third proportional to 17,873,424 and 38,580,696 is: 83,278,397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,873,424 : 38,580,696 = 38,580,696 : x
  2. Step 2: Convert to fraction form
    17,873,424/38,580,696 = 38,580,696/x
  3. Step 3: Cross multiply
    17,873,424x = 38,580,696 × 38,580,696
  4. Step 4: Simplify right side
    17,873,424x = 1,488,470,103,844,416
  5. Step 5: Solve for x
    x = 1,488,470,103,844,416/17,873,424
  6. Step 6: Final answer
    x = 83,278,397.24

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Why These Related Problems?

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