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Finding the Third Proportional to 36,666,036 and 80,653,815

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Solution

The third proportional to 36,666,036 and 80,653,815 is: 177,413,175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,666,036 : 80,653,815 = 80,653,815 : x
  2. Step 2: Convert to fraction form
    36,666,036/80,653,815 = 80,653,815/x
  3. Step 3: Cross multiply
    36,666,036x = 80,653,815 × 80,653,815
  4. Step 4: Simplify right side
    36,666,036x = 6,505,037,874,054,225
  5. Step 5: Solve for x
    x = 6,505,037,874,054,225/36,666,036
  6. Step 6: Final answer
    x = 177,413,175.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.