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Finding the Third Proportional to 3,542,198,542.50 and 8,200,406,749.50

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Solution

The third proportional to 3,542,198,542.50 and 8,200,406,749.50 is: 18,984,444,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542,198,542.50 : 8,200,406,749.50 = 8,200,406,749.50 : x
  2. Step 2: Convert to fraction form
    3,542,198,542.50/8,200,406,749.50 = 8,200,406,749.50/x
  3. Step 3: Cross multiply
    3,542,198,542.50x = 8,200,406,749.50 × 8,200,406,749.50
  4. Step 4: Simplify right side
    3,542,198,542.50x = 67,246,670,857,245,155,328
  5. Step 5: Solve for x
    x = 67,246,670,857,245,155,328/3,542,198,542.50
  6. Step 6: Final answer
    x = 18,984,444,279.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.