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Finding the Third Proportional to 269,399,184 and 580,848,736

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Solution

The third proportional to 269,399,184 and 580,848,736 is: 1,252,361,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,399,184 : 580,848,736 = 580,848,736 : x
  2. Step 2: Convert to fraction form
    269,399,184/580,848,736 = 580,848,736/x
  3. Step 3: Cross multiply
    269,399,184x = 580,848,736 × 580,848,736
  4. Step 4: Simplify right side
    269,399,184x = 337,385,254,112,797,696
  5. Step 5: Solve for x
    x = 337,385,254,112,797,696/269,399,184
  6. Step 6: Final answer
    x = 1,252,361,826.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.