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Finding the Third Proportional to 8,387,470 and 18,344,948

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Solution

The third proportional to 8,387,470 and 18,344,948 is: 40,123,793.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387,470 : 18,344,948 = 18,344,948 : x
  2. Step 2: Convert to fraction form
    8,387,470/18,344,948 = 18,344,948/x
  3. Step 3: Cross multiply
    8,387,470x = 18,344,948 × 18,344,948
  4. Step 4: Simplify right side
    8,387,470x = 336,537,117,122,704
  5. Step 5: Solve for x
    x = 336,537,117,122,704/8,387,470
  6. Step 6: Final answer
    x = 40,123,793.84

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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.