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Finding the Third Proportional to 1,193,647,135.50 and 2,568,692,794.50

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Solution

The third proportional to 1,193,647,135.50 and 2,568,692,794.50 is: 5,527,749,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,647,135.50 : 2,568,692,794.50 = 2,568,692,794.50 : x
  2. Step 2: Convert to fraction form
    1,193,647,135.50/2,568,692,794.50 = 2,568,692,794.50/x
  3. Step 3: Cross multiply
    1,193,647,135.50x = 2,568,692,794.50 × 2,568,692,794.50
  4. Step 4: Simplify right side
    1,193,647,135.50x = 6,598,182,672,516,218,880
  5. Step 5: Solve for x
    x = 6,598,182,672,516,218,880/1,193,647,135.50
  6. Step 6: Final answer
    x = 5,527,749,764.80

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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.