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Finding the Third Proportional to 6,519,885 and 14,159,919

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Solution

The third proportional to 6,519,885 and 14,159,919 is: 30,752,583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519,885 : 14,159,919 = 14,159,919 : x
  2. Step 2: Convert to fraction form
    6,519,885/14,159,919 = 14,159,919/x
  3. Step 3: Cross multiply
    6,519,885x = 14,159,919 × 14,159,919
  4. Step 4: Simplify right side
    6,519,885x = 200,503,306,086,561
  5. Step 5: Solve for x
    x = 200,503,306,086,561/6,519,885
  6. Step 6: Final answer
    x = 30,752,583.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.