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Finding the Third Proportional to 2,263,002,174 and 3,380,567,049

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Solution

The third proportional to 2,263,002,174 and 3,380,567,049 is: 5,050,032,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263,002,174 : 3,380,567,049 = 3,380,567,049 : x
  2. Step 2: Convert to fraction form
    2,263,002,174/3,380,567,049 = 3,380,567,049/x
  3. Step 3: Cross multiply
    2,263,002,174x = 3,380,567,049 × 3,380,567,049
  4. Step 4: Simplify right side
    2,263,002,174x = 11,428,233,572,784,568,320
  5. Step 5: Solve for x
    x = 11,428,233,572,784,568,320/2,263,002,174
  6. Step 6: Final answer
    x = 5,050,032,078.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.