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Finding the Third Proportional to 36,691,008 and 78,634,208

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Solution

The third proportional to 36,691,008 and 78,634,208 is: 168,524,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,691,008 : 78,634,208 = 78,634,208 : x
  2. Step 2: Convert to fraction form
    36,691,008/78,634,208 = 78,634,208/x
  3. Step 3: Cross multiply
    36,691,008x = 78,634,208 × 78,634,208
  4. Step 4: Simplify right side
    36,691,008x = 6,183,338,667,787,264
  5. Step 5: Solve for x
    x = 6,183,338,667,787,264/36,691,008
  6. Step 6: Final answer
    x = 168,524,633.28

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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.