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Finding the Third Proportional to 299,755,253 and 449,632,849

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Solution

The third proportional to 299,755,253 and 449,632,849 is: 674,449,227.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,755,253 : 449,632,849 = 449,632,849 : x
  2. Step 2: Convert to fraction form
    299,755,253/449,632,849 = 449,632,849/x
  3. Step 3: Cross multiply
    299,755,253x = 449,632,849 × 449,632,849
  4. Step 4: Simplify right side
    299,755,253x = 202,169,698,899,856,800
  5. Step 5: Solve for x
    x = 202,169,698,899,856,800/299,755,253
  6. Step 6: Final answer
    x = 674,449,227.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.