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Finding the Third Proportional to 9,608,498,100 and 20,691,325,800

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Solution

The third proportional to 9,608,498,100 and 20,691,325,800 is: 44,557,532,187.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608,498,100 : 20,691,325,800 = 20,691,325,800 : x
  2. Step 2: Convert to fraction form
    9,608,498,100/20,691,325,800 = 20,691,325,800/x
  3. Step 3: Cross multiply
    9,608,498,100x = 20,691,325,800 × 20,691,325,800
  4. Step 4: Simplify right side
    9,608,498,100x = 428,130,963,361,745,666,048
  5. Step 5: Solve for x
    x = 428,130,963,361,745,666,048/9,608,498,100
  6. Step 6: Final answer
    x = 44,557,532,187.24

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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.