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Finding the Third Proportional to 6,928,855,234 and 16,167,887,652

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Solution

The third proportional to 6,928,855,234 and 16,167,887,652 is: 37,726,375,035.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928,855,234 : 16,167,887,652 = 16,167,887,652 : x
  2. Step 2: Convert to fraction form
    6,928,855,234/16,167,887,652 = 16,167,887,652/x
  3. Step 3: Cross multiply
    6,928,855,234x = 16,167,887,652 × 16,167,887,652
  4. Step 4: Simplify right side
    6,928,855,234x = 261,400,591,127,694,082,048
  5. Step 5: Solve for x
    x = 261,400,591,127,694,082,048/6,928,855,234
  6. Step 6: Final answer
    x = 37,726,375,035.95

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.