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Finding the Third Proportional to 233,233,619 and 539,950,569

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Solution

The third proportional to 233,233,619 and 539,950,569 is: 1,250,019,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,233,619 : 539,950,569 = 539,950,569 : x
  2. Step 2: Convert to fraction form
    233,233,619/539,950,569 = 539,950,569/x
  3. Step 3: Cross multiply
    233,233,619x = 539,950,569 × 539,950,569
  4. Step 4: Simplify right side
    233,233,619x = 291,546,616,963,423,744
  5. Step 5: Solve for x
    x = 291,546,616,963,423,744/233,233,619
  6. Step 6: Final answer
    x = 1,250,019,693.62

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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.