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Finding the Third Proportional to 269,187,990 and 585,615,180

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Solution

The third proportional to 269,187,990 and 585,615,180 is: 1,273,998,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,187,990 : 585,615,180 = 585,615,180 : x
  2. Step 2: Convert to fraction form
    269,187,990/585,615,180 = 585,615,180/x
  3. Step 3: Cross multiply
    269,187,990x = 585,615,180 × 585,615,180
  4. Step 4: Simplify right side
    269,187,990x = 342,945,139,046,432,384
  5. Step 5: Solve for x
    x = 342,945,139,046,432,384/269,187,990
  6. Step 6: Final answer
    x = 1,273,998,661.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.