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Finding the Third Proportional to 834,102,524 and 1,797,379,096

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Solution

The third proportional to 834,102,524 and 1,797,379,096 is: 3,873,110,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,102,524 : 1,797,379,096 = 1,797,379,096 : x
  2. Step 2: Convert to fraction form
    834,102,524/1,797,379,096 = 1,797,379,096/x
  3. Step 3: Cross multiply
    834,102,524x = 1,797,379,096 × 1,797,379,096
  4. Step 4: Simplify right side
    834,102,524x = 3,230,571,614,737,777,152
  5. Step 5: Solve for x
    x = 3,230,571,614,737,777,152/834,102,524
  6. Step 6: Final answer
    x = 3,873,110,944.74

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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.