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Finding the Third Proportional to 233,231,326 and 539,944,809

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Solution

The third proportional to 233,231,326 and 539,944,809 is: 1,250,005,313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,231,326 : 539,944,809 = 539,944,809 : x
  2. Step 2: Convert to fraction form
    233,231,326/539,944,809 = 539,944,809/x
  3. Step 3: Cross multiply
    233,231,326x = 539,944,809 × 539,944,809
  4. Step 4: Simplify right side
    233,231,326x = 291,540,396,766,046,464
  5. Step 5: Solve for x
    x = 291,540,396,766,046,464/233,231,326
  6. Step 6: Final answer
    x = 1,250,005,313.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.