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Finding the Third Proportional to 269,691,424 and 591,876,992

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Solution

The third proportional to 269,691,424 and 591,876,992 is: 1,298,960,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,691,424 : 591,876,992 = 591,876,992 : x
  2. Step 2: Convert to fraction form
    269,691,424/591,876,992 = 591,876,992/x
  3. Step 3: Cross multiply
    269,691,424x = 591,876,992 × 591,876,992
  4. Step 4: Simplify right side
    269,691,424x = 350,318,373,658,968,064
  5. Step 5: Solve for x
    x = 350,318,373,658,968,064/269,691,424
  6. Step 6: Final answer
    x = 1,298,960,005.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.