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Finding the Third Proportional to 1,096,912,821 and 2,372,739,189

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Solution

The third proportional to 1,096,912,821 and 2,372,739,189 is: 5,132,487,424.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,912,821 : 2,372,739,189 = 2,372,739,189 : x
  2. Step 2: Convert to fraction form
    1,096,912,821/2,372,739,189 = 2,372,739,189/x
  3. Step 3: Cross multiply
    1,096,912,821x = 2,372,739,189 × 2,372,739,189
  4. Step 4: Simplify right side
    1,096,912,821x = 5,629,891,259,016,377,344
  5. Step 5: Solve for x
    x = 5,629,891,259,016,377,344/1,096,912,821
  6. Step 6: Final answer
    x = 5,132,487,424.01

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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.