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Finding the Third Proportional to 4,396,647,708 and 9,482,023,512

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Solution

The third proportional to 4,396,647,708 and 9,482,023,512 is: 20,449,391,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,396,647,708 : 9,482,023,512 = 9,482,023,512 : x
  2. Step 2: Convert to fraction form
    4,396,647,708/9,482,023,512 = 9,482,023,512/x
  3. Step 3: Cross multiply
    4,396,647,708x = 9,482,023,512 × 9,482,023,512
  4. Step 4: Simplify right side
    4,396,647,708x = 89,908,769,882,120,814,592
  5. Step 5: Solve for x
    x = 89,908,769,882,120,814,592/4,396,647,708
  6. Step 6: Final answer
    x = 20,449,391,412.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.