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Finding the Third Proportional to 1,261,689,606 and 2,761,225,676

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Solution

The third proportional to 1,261,689,606 and 2,761,225,676 is: 6,042,981,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,689,606 : 2,761,225,676 = 2,761,225,676 : x
  2. Step 2: Convert to fraction form
    1,261,689,606/2,761,225,676 = 2,761,225,676/x
  3. Step 3: Cross multiply
    1,261,689,606x = 2,761,225,676 × 2,761,225,676
  4. Step 4: Simplify right side
    1,261,689,606x = 7,624,367,233,801,657,344
  5. Step 5: Solve for x
    x = 7,624,367,233,801,657,344/1,261,689,606
  6. Step 6: Final answer
    x = 6,042,981,726.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.