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Finding the Third Proportional to 998,608,399 and 2,171,029,926

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Solution

The third proportional to 998,608,399 and 2,171,029,926 is: 4,719,939,211.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,608,399 : 2,171,029,926 = 2,171,029,926 : x
  2. Step 2: Convert to fraction form
    998,608,399/2,171,029,926 = 2,171,029,926/x
  3. Step 3: Cross multiply
    998,608,399x = 2,171,029,926 × 2,171,029,926
  4. Step 4: Simplify right side
    998,608,399x = 4,713,370,939,587,565,568
  5. Step 5: Solve for x
    x = 4,713,370,939,587,565,568/998,608,399
  6. Step 6: Final answer
    x = 4,719,939,211.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.