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Finding the Third Proportional to 1,089,709,056 and 1,691,981,568

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Solution

The third proportional to 1,089,709,056 and 1,691,981,568 is: 2,627,124,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089,709,056 : 1,691,981,568 = 1,691,981,568 : x
  2. Step 2: Convert to fraction form
    1,089,709,056/1,691,981,568 = 1,691,981,568/x
  3. Step 3: Cross multiply
    1,089,709,056x = 1,691,981,568 × 1,691,981,568
  4. Step 4: Simplify right side
    1,089,709,056x = 2,862,801,626,451,738,624
  5. Step 5: Solve for x
    x = 2,862,801,626,451,738,624/1,089,709,056
  6. Step 6: Final answer
    x = 2,627,124,745.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.