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Finding the Third Proportional to 65,661,800,611.50 and 133,150,717,980

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Solution

The third proportional to 65,661,800,611.50 and 133,150,717,980 is: 270,006,511,144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,661,800,611.50 : 133,150,717,980 = 133,150,717,980 : x
  2. Step 2: Convert to fraction form
    65,661,800,611.50/133,150,717,980 = 133,150,717,980/x
  3. Step 3: Cross multiply
    65,661,800,611.50x = 133,150,717,980 × 133,150,717,980
  4. Step 4: Simplify right side
    65,661,800,611.50x = 17,729,113,698,589,495,787,520
  5. Step 5: Solve for x
    x = 17,729,113,698,589,495,787,520/65,661,800,611.50
  6. Step 6: Final answer
    x = 270,006,511,144.69

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.