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Finding the Third Proportional to 299,755,251 and 449,632,846

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Solution

The third proportional to 299,755,251 and 449,632,846 is: 674,449,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,755,251 : 449,632,846 = 449,632,846 : x
  2. Step 2: Convert to fraction form
    299,755,251/449,632,846 = 449,632,846/x
  3. Step 3: Cross multiply
    299,755,251x = 449,632,846 × 449,632,846
  4. Step 4: Simplify right side
    299,755,251x = 202,169,696,202,059,712
  5. Step 5: Solve for x
    x = 202,169,696,202,059,712/299,755,251
  6. Step 6: Final answer
    x = 674,449,223.25

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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.