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Finding the Third Proportional to 7,981,884 and 17,508,863

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Solution

The third proportional to 7,981,884 and 17,508,863 is: 38,407,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981,884 : 17,508,863 = 17,508,863 : x
  2. Step 2: Convert to fraction form
    7,981,884/17,508,863 = 17,508,863/x
  3. Step 3: Cross multiply
    7,981,884x = 17,508,863 × 17,508,863
  4. Step 4: Simplify right side
    7,981,884x = 306,560,283,552,769
  5. Step 5: Solve for x
    x = 306,560,283,552,769/7,981,884
  6. Step 6: Final answer
    x = 38,407,008.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.