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Finding the Third Proportional to 3,741,193,028 and 5,230,408,041

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Solution

The third proportional to 3,741,193,028 and 5,230,408,041 is: 7,312,418,276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741,193,028 : 5,230,408,041 = 5,230,408,041 : x
  2. Step 2: Convert to fraction form
    3,741,193,028/5,230,408,041 = 5,230,408,041/x
  3. Step 3: Cross multiply
    3,741,193,028x = 5,230,408,041 × 5,230,408,041
  4. Step 4: Simplify right side
    3,741,193,028x = 27,357,168,275,357,458,432
  5. Step 5: Solve for x
    x = 27,357,168,275,357,458,432/3,741,193,028
  6. Step 6: Final answer
    x = 7,312,418,276.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.