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Finding the Third Proportional to 36,691,032 and 78,634,256

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Solution

The third proportional to 36,691,032 and 78,634,256 is: 168,524,728.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,691,032 : 78,634,256 = 78,634,256 : x
  2. Step 2: Convert to fraction form
    36,691,032/78,634,256 = 78,634,256/x
  3. Step 3: Cross multiply
    36,691,032x = 78,634,256 × 78,634,256
  4. Step 4: Simplify right side
    36,691,032x = 6,183,346,216,673,536
  5. Step 5: Solve for x
    x = 6,183,346,216,673,536/36,691,032
  6. Step 6: Final answer
    x = 168,524,728.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.