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Finding the Third Proportional to 233,233,674 and 539,950,710

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Solution

The third proportional to 233,233,674 and 539,950,710 is: 1,250,020,051.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,233,674 : 539,950,710 = 539,950,710 : x
  2. Step 2: Convert to fraction form
    233,233,674/539,950,710 = 539,950,710/x
  3. Step 3: Cross multiply
    233,233,674x = 539,950,710 × 539,950,710
  4. Step 4: Simplify right side
    233,233,674x = 291,546,769,229,504,128
  5. Step 5: Solve for x
    x = 291,546,769,229,504,128/233,233,674
  6. Step 6: Final answer
    x = 1,250,020,051.69

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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.