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Finding the Third Proportional to 5,169,351 and 11,278,704

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Solution

The third proportional to 5,169,351 and 11,278,704 is: 24,608,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169,351 : 11,278,704 = 11,278,704 : x
  2. Step 2: Convert to fraction form
    5,169,351/11,278,704 = 11,278,704/x
  3. Step 3: Cross multiply
    5,169,351x = 11,278,704 × 11,278,704
  4. Step 4: Simplify right side
    5,169,351x = 127,209,163,919,616
  5. Step 5: Solve for x
    x = 127,209,163,919,616/5,169,351
  6. Step 6: Final answer
    x = 24,608,343.28

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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.