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Finding the Third Proportional to 567,193,256 and 1,231,187,992

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Solution

The third proportional to 567,193,256 and 1,231,187,992 is: 2,672,499,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,193,256 : 1,231,187,992 = 1,231,187,992 : x
  2. Step 2: Convert to fraction form
    567,193,256/1,231,187,992 = 1,231,187,992/x
  3. Step 3: Cross multiply
    567,193,256x = 1,231,187,992 × 1,231,187,992
  4. Step 4: Simplify right side
    567,193,256x = 1,515,823,871,644,992,000
  5. Step 5: Solve for x
    x = 1,515,823,871,644,992,000/567,193,256
  6. Step 6: Final answer
    x = 2,672,499,814.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.