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Finding the Third Proportional to 2,479,465,576 and 5,394,761,615

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Solution

The third proportional to 2,479,465,576 and 5,394,761,615 is: 11,737,792,677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479,465,576 : 5,394,761,615 = 5,394,761,615 : x
  2. Step 2: Convert to fraction form
    2,479,465,576/5,394,761,615 = 5,394,761,615/x
  3. Step 3: Cross multiply
    2,479,465,576x = 5,394,761,615 × 5,394,761,615
  4. Step 4: Simplify right side
    2,479,465,576x = 29,103,452,882,677,407,744
  5. Step 5: Solve for x
    x = 29,103,452,882,677,407,744/2,479,465,576
  6. Step 6: Final answer
    x = 11,737,792,677.74

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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.