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Finding the Third Proportional to 8,947,125 and 19,488,522

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Solution

The third proportional to 8,947,125 and 19,488,522 is: 42,449,668.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947,125 : 19,488,522 = 19,488,522 : x
  2. Step 2: Convert to fraction form
    8,947,125/19,488,522 = 19,488,522/x
  3. Step 3: Cross multiply
    8,947,125x = 19,488,522 × 19,488,522
  4. Step 4: Simplify right side
    8,947,125x = 379,802,489,744,484
  5. Step 5: Solve for x
    x = 379,802,489,744,484/8,947,125
  6. Step 6: Final answer
    x = 42,449,668.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.