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Finding the Third Proportional to 941,353,819.50 and 2,052,204,342.75

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Solution

The third proportional to 941,353,819.50 and 2,052,204,342.75 is: 4,473,921,045.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,353,819.50 : 2,052,204,342.75 = 2,052,204,342.75 : x
  2. Step 2: Convert to fraction form
    941,353,819.50/2,052,204,342.75 = 2,052,204,342.75/x
  3. Step 3: Cross multiply
    941,353,819.50x = 2,052,204,342.75 × 2,052,204,342.75
  4. Step 4: Simplify right side
    941,353,819.50x = 4,211,542,664,401,959,424
  5. Step 5: Solve for x
    x = 4,211,542,664,401,959,424/941,353,819.50
  6. Step 6: Final answer
    x = 4,473,921,045.58

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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.