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Finding the Third Proportional to 3,741,193,042 and 5,230,408,057

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Solution

The third proportional to 3,741,193,042 and 5,230,408,057 is: 7,312,418,294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741,193,042 : 5,230,408,057 = 5,230,408,057 : x
  2. Step 2: Convert to fraction form
    3,741,193,042/5,230,408,057 = 5,230,408,057/x
  3. Step 3: Cross multiply
    3,741,193,042x = 5,230,408,057 × 5,230,408,057
  4. Step 4: Simplify right side
    3,741,193,042x = 27,357,168,442,730,516,480
  5. Step 5: Solve for x
    x = 27,357,168,442,730,516,480/3,741,193,042
  6. Step 6: Final answer
    x = 7,312,418,294.27

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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.