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Finding the Third Proportional to 2,204,275,761 and 4,759,203,892.50

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Solution

The third proportional to 2,204,275,761 and 4,759,203,892.50 is: 10,275,493,697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204,275,761 : 4,759,203,892.50 = 4,759,203,892.50 : x
  2. Step 2: Convert to fraction form
    2,204,275,761/4,759,203,892.50 = 4,759,203,892.50/x
  3. Step 3: Cross multiply
    2,204,275,761x = 4,759,203,892.50 × 4,759,203,892.50
  4. Step 4: Simplify right side
    2,204,275,761x = 22,650,021,690,387,152,896
  5. Step 5: Solve for x
    x = 22,650,021,690,387,152,896/2,204,275,761
  6. Step 6: Final answer
    x = 10,275,493,697.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.