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Finding the Third Proportional to 65,661,800,616 and 133,150,717,988

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Solution

The third proportional to 65,661,800,616 and 133,150,717,988 is: 270,006,511,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,661,800,616 : 133,150,717,988 = 133,150,717,988 : x
  2. Step 2: Convert to fraction form
    65,661,800,616/133,150,717,988 = 133,150,717,988/x
  3. Step 3: Cross multiply
    65,661,800,616x = 133,150,717,988 × 133,150,717,988
  4. Step 4: Simplify right side
    65,661,800,616x = 17,729,113,700,719,906,521,088
  5. Step 5: Solve for x
    x = 17,729,113,700,719,906,521,088/65,661,800,616
  6. Step 6: Final answer
    x = 270,006,511,158.63

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Why These Related Problems?

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