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Finding the Third Proportional to 2,761,337,596 and 5,932,501,400

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Solution

The third proportional to 2,761,337,596 and 5,932,501,400 is: 12,745,479,912.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761,337,596 : 5,932,501,400 = 5,932,501,400 : x
  2. Step 2: Convert to fraction form
    2,761,337,596/5,932,501,400 = 5,932,501,400/x
  3. Step 3: Cross multiply
    2,761,337,596x = 5,932,501,400 × 5,932,501,400
  4. Step 4: Simplify right side
    2,761,337,596x = 35,194,572,861,001,961,472
  5. Step 5: Solve for x
    x = 35,194,572,861,001,961,472/2,761,337,596
  6. Step 6: Final answer
    x = 12,745,479,912.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.