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Finding the Third Proportional to 339,565,874 and 727,543,108

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Solution

The third proportional to 339,565,874 and 727,543,108 is: 1,558,810,865.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,565,874 : 727,543,108 = 727,543,108 : x
  2. Step 2: Convert to fraction form
    339,565,874/727,543,108 = 727,543,108/x
  3. Step 3: Cross multiply
    339,565,874x = 727,543,108 × 727,543,108
  4. Step 4: Simplify right side
    339,565,874x = 529,318,973,998,299,648
  5. Step 5: Solve for x
    x = 529,318,973,998,299,648/339,565,874
  6. Step 6: Final answer
    x = 1,558,810,865.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.