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Finding the Third Proportional to 299,755,229 and 449,632,815

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Solution

The third proportional to 299,755,229 and 449,632,815 is: 674,449,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,755,229 : 449,632,815 = 449,632,815 : x
  2. Step 2: Convert to fraction form
    299,755,229/449,632,815 = 449,632,815/x
  3. Step 3: Cross multiply
    299,755,229x = 449,632,815 × 449,632,815
  4. Step 4: Simplify right side
    299,755,229x = 202,169,668,324,824,224
  5. Step 5: Solve for x
    x = 202,169,668,324,824,224/299,755,229
  6. Step 6: Final answer
    x = 674,449,179.75

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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.