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Finding the Third Proportional to 34,434,806,091,251 and 75,888,522,270,784

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Solution

The third proportional to 34,434,806,091,251 and 75,888,522,270,784 is: 167,245,542,117,529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,434,806,091,251 : 75,888,522,270,784 = 75,888,522,270,784 : x
  2. Step 2: Convert to fraction form
    34,434,806,091,251/75,888,522,270,784 = 75,888,522,270,784/x
  3. Step 3: Cross multiply
    34,434,806,091,251x = 75,888,522,270,784 × 75,888,522,270,784
  4. Step 4: Simplify right side
    34,434,806,091,251x = 5,759,067,812,443,278,725,265,489,920
  5. Step 5: Solve for x
    x = 5,759,067,812,443,278,725,265,489,920/34,434,806,091,251
  6. Step 6: Final answer
    x = 167,245,542,117,529.44

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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.