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Finding the Third Proportional to 2,449,278,862 and 3,782,214,162

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Solution

The third proportional to 2,449,278,862 and 3,782,214,162 is: 5,840,553,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449,278,862 : 3,782,214,162 = 3,782,214,162 : x
  2. Step 2: Convert to fraction form
    2,449,278,862/3,782,214,162 = 3,782,214,162/x
  3. Step 3: Cross multiply
    2,449,278,862x = 3,782,214,162 × 3,782,214,162
  4. Step 4: Simplify right side
    2,449,278,862x = 14,305,143,967,233,361,920
  5. Step 5: Solve for x
    x = 14,305,143,967,233,361,920/2,449,278,862
  6. Step 6: Final answer
    x = 5,840,553,392.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.