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Finding the Third Proportional to 441,225,956 and 969,978,568

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Solution

The third proportional to 441,225,956 and 969,978,568 is: 2,132,373,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,225,956 : 969,978,568 = 969,978,568 : x
  2. Step 2: Convert to fraction form
    441,225,956/969,978,568 = 969,978,568/x
  3. Step 3: Cross multiply
    441,225,956x = 969,978,568 × 969,978,568
  4. Step 4: Simplify right side
    441,225,956x = 940,858,422,379,330,560
  5. Step 5: Solve for x
    x = 940,858,422,379,330,560/441,225,956
  6. Step 6: Final answer
    x = 2,132,373,242.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.