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Finding the Third Proportional to 2,449,278,849 and 3,782,214,139.50

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Solution

The third proportional to 2,449,278,849 and 3,782,214,139.50 is: 5,840,553,354.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449,278,849 : 3,782,214,139.50 = 3,782,214,139.50 : x
  2. Step 2: Convert to fraction form
    2,449,278,849/3,782,214,139.50 = 3,782,214,139.50/x
  3. Step 3: Cross multiply
    2,449,278,849x = 3,782,214,139.50 × 3,782,214,139.50
  4. Step 4: Simplify right side
    2,449,278,849x = 14,305,143,797,033,725,952
  5. Step 5: Solve for x
    x = 14,305,143,797,033,725,952/2,449,278,849
  6. Step 6: Final answer
    x = 5,840,553,354.26

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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.