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Finding the Third Proportional to 67,255,479,891 and 148,219,768,550

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Solution

The third proportional to 67,255,479,891 and 148,219,768,550 is: 326,651,446,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,255,479,891 : 148,219,768,550 = 148,219,768,550 : x
  2. Step 2: Convert to fraction form
    67,255,479,891/148,219,768,550 = 148,219,768,550/x
  3. Step 3: Cross multiply
    67,255,479,891x = 148,219,768,550 × 148,219,768,550
  4. Step 4: Simplify right side
    67,255,479,891x = 21,969,099,789,015,567,040,512
  5. Step 5: Solve for x
    x = 21,969,099,789,015,567,040,512/67,255,479,891
  6. Step 6: Final answer
    x = 326,651,446,463.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.