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Finding the Third Proportional to 9,865,198,856 and 14,253,508,737

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Solution

The third proportional to 9,865,198,856 and 14,253,508,737 is: 20,593,858,702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865,198,856 : 14,253,508,737 = 14,253,508,737 : x
  2. Step 2: Convert to fraction form
    9,865,198,856/14,253,508,737 = 14,253,508,737/x
  3. Step 3: Cross multiply
    9,865,198,856x = 14,253,508,737 × 14,253,508,737
  4. Step 4: Simplify right side
    9,865,198,856x = 203,162,511,315,735,347,200
  5. Step 5: Solve for x
    x = 203,162,511,315,735,347,200/9,865,198,856
  6. Step 6: Final answer
    x = 20,593,858,702.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.