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Finding the Third Proportional to 787,271,249.25 and 1,691,375,674.50

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Solution

The third proportional to 787,271,249.25 and 1,691,375,674.50 is: 3,633,756,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,271,249.25 : 1,691,375,674.50 = 1,691,375,674.50 : x
  2. Step 2: Convert to fraction form
    787,271,249.25/1,691,375,674.50 = 1,691,375,674.50/x
  3. Step 3: Cross multiply
    787,271,249.25x = 1,691,375,674.50 × 1,691,375,674.50
  4. Step 4: Simplify right side
    787,271,249.25x = 2,860,751,672,290,330,112
  5. Step 5: Solve for x
    x = 2,860,751,672,290,330,112/787,271,249.25
  6. Step 6: Final answer
    x = 3,633,756,059.32

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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.