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Finding the Third Proportional to 3,942,642,770.44 and 8,483,260,120.31

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Solution

The third proportional to 3,942,642,770.44 and 8,483,260,120.31 is: 18,253,163,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942,642,770.44 : 8,483,260,120.31 = 8,483,260,120.31 : x
  2. Step 2: Convert to fraction form
    3,942,642,770.44/8,483,260,120.31 = 8,483,260,120.31/x
  3. Step 3: Cross multiply
    3,942,642,770.44x = 8,483,260,120.31 × 8,483,260,120.31
  4. Step 4: Simplify right side
    3,942,642,770.44x = 71,965,702,268,884,451,328
  5. Step 5: Solve for x
    x = 71,965,702,268,884,451,328/3,942,642,770.44
  6. Step 6: Final answer
    x = 18,253,163,286.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.