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Finding the Third Proportional to 1,144,628,775 and 2,479,414,041

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Solution

The third proportional to 1,144,628,775 and 2,479,414,041 is: 5,370,731,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,628,775 : 2,479,414,041 = 2,479,414,041 : x
  2. Step 2: Convert to fraction form
    1,144,628,775/2,479,414,041 = 2,479,414,041/x
  3. Step 3: Cross multiply
    1,144,628,775x = 2,479,414,041 × 2,479,414,041
  4. Step 4: Simplify right side
    1,144,628,775x = 6,147,493,986,707,949,568
  5. Step 5: Solve for x
    x = 6,147,493,986,707,949,568/1,144,628,775
  6. Step 6: Final answer
    x = 5,370,731,647.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.