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Finding the Third Proportional to 941,353,785 and 2,052,204,221.25

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Solution

The third proportional to 941,353,785 and 2,052,204,221.25 is: 4,473,920,679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,353,785 : 2,052,204,221.25 = 2,052,204,221.25 : x
  2. Step 2: Convert to fraction form
    941,353,785/2,052,204,221.25 = 2,052,204,221.25/x
  3. Step 3: Cross multiply
    941,353,785x = 2,052,204,221.25 × 2,052,204,221.25
  4. Step 4: Simplify right side
    941,353,785x = 4,211,542,165,716,318,720
  5. Step 5: Solve for x
    x = 4,211,542,165,716,318,720/941,353,785
  6. Step 6: Final answer
    x = 4,473,920,679.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.