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Finding the Third Proportional to 233,233,569 and 539,950,448

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Solution

The third proportional to 233,233,569 and 539,950,448 is: 1,250,019,401.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,233,569 : 539,950,448 = 539,950,448 : x
  2. Step 2: Convert to fraction form
    233,233,569/539,950,448 = 539,950,448/x
  3. Step 3: Cross multiply
    233,233,569x = 539,950,448 × 539,950,448
  4. Step 4: Simplify right side
    233,233,569x = 291,546,486,295,400,704
  5. Step 5: Solve for x
    x = 291,546,486,295,400,704/233,233,569
  6. Step 6: Final answer
    x = 1,250,019,401.35

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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.