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Finding the Third Proportional to 2,285,797,878 and 4,961,265,516

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Solution

The third proportional to 2,285,797,878 and 4,961,265,516 is: 10,768,299,225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285,797,878 : 4,961,265,516 = 4,961,265,516 : x
  2. Step 2: Convert to fraction form
    2,285,797,878/4,961,265,516 = 4,961,265,516/x
  3. Step 3: Cross multiply
    2,285,797,878x = 4,961,265,516 × 4,961,265,516
  4. Step 4: Simplify right side
    2,285,797,878x = 24,614,155,520,250,744,832
  5. Step 5: Solve for x
    x = 24,614,155,520,250,744,832/2,285,797,878
  6. Step 6: Final answer
    x = 10,768,299,225.91

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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.