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Finding the Third Proportional to 233,233,670 and 539,950,699

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Solution

The third proportional to 233,233,670 and 539,950,699 is: 1,250,020,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,233,670 : 539,950,699 = 539,950,699 : x
  2. Step 2: Convert to fraction form
    233,233,670/539,950,699 = 539,950,699/x
  3. Step 3: Cross multiply
    233,233,670x = 539,950,699 × 539,950,699
  4. Step 4: Simplify right side
    233,233,670x = 291,546,757,350,588,608
  5. Step 5: Solve for x
    x = 291,546,757,350,588,608/233,233,670
  6. Step 6: Final answer
    x = 1,250,020,022.20

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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.