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Finding the Third Proportional to 1,096,912,823 and 2,372,739,193

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Solution

The third proportional to 1,096,912,823 and 2,372,739,193 is: 5,132,487,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,912,823 : 2,372,739,193 = 2,372,739,193 : x
  2. Step 2: Convert to fraction form
    1,096,912,823/2,372,739,193 = 2,372,739,193/x
  3. Step 3: Cross multiply
    1,096,912,823x = 2,372,739,193 × 2,372,739,193
  4. Step 4: Simplify right side
    1,096,912,823x = 5,629,891,277,998,290,944
  5. Step 5: Solve for x
    x = 5,629,891,277,998,290,944/1,096,912,823
  6. Step 6: Final answer
    x = 5,132,487,431.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.