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Finding the Third Proportional to 40,727,632,832 and 87,679,715,768

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Solution

The third proportional to 40,727,632,832 and 87,679,715,768 is: 188,759,621,480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,727,632,832 : 87,679,715,768 = 87,679,715,768 : x
  2. Step 2: Convert to fraction form
    40,727,632,832/87,679,715,768 = 87,679,715,768/x
  3. Step 3: Cross multiply
    40,727,632,832x = 87,679,715,768 × 87,679,715,768
  4. Step 4: Simplify right side
    40,727,632,832x = 7,687,732,557,157,268,193,280
  5. Step 5: Solve for x
    x = 7,687,732,557,157,268,193,280/40,727,632,832
  6. Step 6: Final answer
    x = 188,759,621,480.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.