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Finding the Third Proportional to 13,451,023 and 18,874,449

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Solution

The third proportional to 13,451,023 and 18,874,449 is: 26,484,589.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,451,023 : 18,874,449 = 18,874,449 : x
  2. Step 2: Convert to fraction form
    13,451,023/18,874,449 = 18,874,449/x
  3. Step 3: Cross multiply
    13,451,023x = 18,874,449 × 18,874,449
  4. Step 4: Simplify right side
    13,451,023x = 356,244,825,053,601
  5. Step 5: Solve for x
    x = 356,244,825,053,601/13,451,023
  6. Step 6: Final answer
    x = 26,484,589.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.