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Finding the Third Proportional to 66,510,728,236 and 137,735,969,591

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Solution

The third proportional to 66,510,728,236 and 137,735,969,591 is: 285,235,146,604.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,510,728,236 : 137,735,969,591 = 137,735,969,591 : x
  2. Step 2: Convert to fraction form
    66,510,728,236/137,735,969,591 = 137,735,969,591/x
  3. Step 3: Cross multiply
    66,510,728,236x = 137,735,969,591 × 137,735,969,591
  4. Step 4: Simplify right side
    66,510,728,236x = 18,971,197,319,172,876,926,976
  5. Step 5: Solve for x
    x = 18,971,197,319,172,876,926,976/66,510,728,236
  6. Step 6: Final answer
    x = 285,235,146,604.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.