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Finding the Third Proportional to 1,228,708,329 and 2,707,866,551

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Solution

The third proportional to 1,228,708,329 and 2,707,866,551 is: 5,967,682,553.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,708,329 : 2,707,866,551 = 2,707,866,551 : x
  2. Step 2: Convert to fraction form
    1,228,708,329/2,707,866,551 = 2,707,866,551/x
  3. Step 3: Cross multiply
    1,228,708,329x = 2,707,866,551 × 2,707,866,551
  4. Step 4: Simplify right side
    1,228,708,329x = 7,332,541,258,024,635,392
  5. Step 5: Solve for x
    x = 7,332,541,258,024,635,392/1,228,708,329
  6. Step 6: Final answer
    x = 5,967,682,553.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.