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Finding the Third Proportional to 33,272,379,900 and 73,983,988,992

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Solution

The third proportional to 33,272,379,900 and 73,983,988,992 is: 164,509,741,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,272,379,900 : 73,983,988,992 = 73,983,988,992 : x
  2. Step 2: Convert to fraction form
    33,272,379,900/73,983,988,992 = 73,983,988,992/x
  3. Step 3: Cross multiply
    33,272,379,900x = 73,983,988,992 × 73,983,988,992
  4. Step 4: Simplify right side
    33,272,379,900x = 5,473,630,627,168,377,634,816
  5. Step 5: Solve for x
    x = 5,473,630,627,168,377,634,816/33,272,379,900
  6. Step 6: Final answer
    x = 164,509,741,822.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.