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Finding the Third Proportional to 33,776,646 and 68,493,166.50

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Solution

The third proportional to 33,776,646 and 68,493,166.50 is: 138,892,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,776,646 : 68,493,166.50 = 68,493,166.50 : x
  2. Step 2: Convert to fraction form
    33,776,646/68,493,166.50 = 68,493,166.50/x
  3. Step 3: Cross multiply
    33,776,646x = 68,493,166.50 × 68,493,166.50
  4. Step 4: Simplify right side
    33,776,646x = 4,691,313,857,196,722
  5. Step 5: Solve for x
    x = 4,691,313,857,196,722/33,776,646
  6. Step 6: Final answer
    x = 138,892,235.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.