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Finding the Third Proportional to 33,681,544 and 73,027,368

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Solution

The third proportional to 33,681,544 and 73,027,368 is: 158,335,867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,681,544 : 73,027,368 = 73,027,368 : x
  2. Step 2: Convert to fraction form
    33,681,544/73,027,368 = 73,027,368/x
  3. Step 3: Cross multiply
    33,681,544x = 73,027,368 × 73,027,368
  4. Step 4: Simplify right side
    33,681,544x = 5,332,996,477,007,424
  5. Step 5: Solve for x
    x = 5,332,996,477,007,424/33,681,544
  6. Step 6: Final answer
    x = 158,335,867.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.