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Finding the Third Proportional to 3,431,393,372 and 5,302,377,741

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Solution

The third proportional to 3,431,393,372 and 5,302,377,741 is: 8,193,525,679.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431,393,372 : 5,302,377,741 = 5,302,377,741 : x
  2. Step 2: Convert to fraction form
    3,431,393,372/5,302,377,741 = 5,302,377,741/x
  3. Step 3: Cross multiply
    3,431,393,372x = 5,302,377,741 × 5,302,377,741
  4. Step 4: Simplify right side
    3,431,393,372x = 28,115,209,708,252,262,400
  5. Step 5: Solve for x
    x = 28,115,209,708,252,262,400/3,431,393,372
  6. Step 6: Final answer
    x = 8,193,525,679.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.