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Finding the Third Proportional to 269,629,319 and 580,910,464

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Solution

The third proportional to 269,629,319 and 580,910,464 is: 1,251,558,875.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,629,319 : 580,910,464 = 580,910,464 : x
  2. Step 2: Convert to fraction form
    269,629,319/580,910,464 = 580,910,464/x
  3. Step 3: Cross multiply
    269,629,319x = 580,910,464 × 580,910,464
  4. Step 4: Simplify right side
    269,629,319x = 337,456,967,184,695,296
  5. Step 5: Solve for x
    x = 337,456,967,184,695,296/269,629,319
  6. Step 6: Final answer
    x = 1,251,558,875.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.