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Finding the Third Proportional to 8,731,470 and 18,367,834

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Solution

The third proportional to 8,731,470 and 18,367,834 is: 38,639,235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731,470 : 18,367,834 = 18,367,834 : x
  2. Step 2: Convert to fraction form
    8,731,470/18,367,834 = 18,367,834/x
  3. Step 3: Cross multiply
    8,731,470x = 18,367,834 × 18,367,834
  4. Step 4: Simplify right side
    8,731,470x = 337,377,325,851,556
  5. Step 5: Solve for x
    x = 337,377,325,851,556/8,731,470
  6. Step 6: Final answer
    x = 38,639,235.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.