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Finding the Third Proportional to 33,751,226 and 73,635,601

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Solution

The third proportional to 33,751,226 and 73,635,601 is: 160,651,993.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,751,226 : 73,635,601 = 73,635,601 : x
  2. Step 2: Convert to fraction form
    33,751,226/73,635,601 = 73,635,601/x
  3. Step 3: Cross multiply
    33,751,226x = 73,635,601 × 73,635,601
  4. Step 4: Simplify right side
    33,751,226x = 5,422,201,734,631,201
  5. Step 5: Solve for x
    x = 5,422,201,734,631,201/33,751,226
  6. Step 6: Final answer
    x = 160,651,993.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.