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Finding the Third Proportional to 3,449,893,782 and 7,504,244,624

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Solution

The third proportional to 3,449,893,782 and 7,504,244,624 is: 16,323,310,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449,893,782 : 7,504,244,624 = 7,504,244,624 : x
  2. Step 2: Convert to fraction form
    3,449,893,782/7,504,244,624 = 7,504,244,624/x
  3. Step 3: Cross multiply
    3,449,893,782x = 7,504,244,624 × 7,504,244,624
  4. Step 4: Simplify right side
    3,449,893,782x = 56,313,687,376,832,905,216
  5. Step 5: Solve for x
    x = 56,313,687,376,832,905,216/3,449,893,782
  6. Step 6: Final answer
    x = 16,323,310,494.56

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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.