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Finding the Third Proportional to 233,233,611 and 539,950,549

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Solution

The third proportional to 233,233,611 and 539,950,549 is: 1,250,019,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,233,611 : 539,950,549 = 539,950,549 : x
  2. Step 2: Convert to fraction form
    233,233,611/539,950,549 = 539,950,549/x
  3. Step 3: Cross multiply
    233,233,611x = 539,950,549 × 539,950,549
  4. Step 4: Simplify right side
    233,233,611x = 291,546,595,365,401,408
  5. Step 5: Solve for x
    x = 291,546,595,365,401,408/233,233,611
  6. Step 6: Final answer
    x = 1,250,019,643.89

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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.