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Finding the Third Proportional to 33,272,379,696 and 73,983,988,632

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Solution

The third proportional to 33,272,379,696 and 73,983,988,632 is: 164,509,741,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,272,379,696 : 73,983,988,632 = 73,983,988,632 : x
  2. Step 2: Convert to fraction form
    33,272,379,696/73,983,988,632 = 73,983,988,632/x
  3. Step 3: Cross multiply
    33,272,379,696x = 73,983,988,632 × 73,983,988,632
  4. Step 4: Simplify right side
    33,272,379,696x = 5,473,630,573,899,905,236,992
  5. Step 5: Solve for x
    x = 5,473,630,573,899,905,236,992/33,272,379,696
  6. Step 6: Final answer
    x = 164,509,741,230.14

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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.