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Finding the Third Proportional to 2,285,797,876 and 4,961,265,512

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Solution

The third proportional to 2,285,797,876 and 4,961,265,512 is: 10,768,299,217.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285,797,876 : 4,961,265,512 = 4,961,265,512 : x
  2. Step 2: Convert to fraction form
    2,285,797,876/4,961,265,512 = 4,961,265,512/x
  3. Step 3: Cross multiply
    2,285,797,876x = 4,961,265,512 × 4,961,265,512
  4. Step 4: Simplify right side
    2,285,797,876x = 24,614,155,480,560,623,616
  5. Step 5: Solve for x
    x = 24,614,155,480,560,623,616/2,285,797,876
  6. Step 6: Final answer
    x = 10,768,299,217.97

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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.