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Finding the Third Proportional to 1,165,682,932 and 1,903,253,811

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Solution

The third proportional to 1,165,682,932 and 1,903,253,811 is: 3,107,513,175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,682,932 : 1,903,253,811 = 1,903,253,811 : x
  2. Step 2: Convert to fraction form
    1,165,682,932/1,903,253,811 = 1,903,253,811/x
  3. Step 3: Cross multiply
    1,165,682,932x = 1,903,253,811 × 1,903,253,811
  4. Step 4: Simplify right side
    1,165,682,932x = 3,622,375,069,086,023,680
  5. Step 5: Solve for x
    x = 3,622,375,069,086,023,680/1,165,682,932
  6. Step 6: Final answer
    x = 3,107,513,175.02

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.