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Finding the Third Proportional to 3,643,858,722,391.50 and 7,589,317,487,885.20

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Solution

The third proportional to 3,643,858,722,391.50 and 7,589,317,487,885.20 is: 15,806,798,320,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643,858,722,391.50 : 7,589,317,487,885.20 = 7,589,317,487,885.20 : x
  2. Step 2: Convert to fraction form
    3,643,858,722,391.50/7,589,317,487,885.20 = 7,589,317,487,885.20/x
  3. Step 3: Cross multiply
    3,643,858,722,391.50x = 7,589,317,487,885.20 × 7,589,317,487,885.20
  4. Step 4: Simplify right side
    3,643,858,722,391.50x = 57,597,739,931,920,126,015,700,992
  5. Step 5: Solve for x
    x = 57,597,739,931,920,126,015,700,992/3,643,858,722,391.50
  6. Step 6: Final answer
    x = 15,806,798,320,138.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.