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Finding the Third Proportional to 36,269,928 and 76,633,656

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Solution

The third proportional to 36,269,928 and 76,633,656 is: 161,916,980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,269,928 : 76,633,656 = 76,633,656 : x
  2. Step 2: Convert to fraction form
    36,269,928/76,633,656 = 76,633,656/x
  3. Step 3: Cross multiply
    36,269,928x = 76,633,656 × 76,633,656
  4. Step 4: Simplify right side
    36,269,928x = 5,872,717,231,926,336
  5. Step 5: Solve for x
    x = 5,872,717,231,926,336/36,269,928
  6. Step 6: Final answer
    x = 161,916,980.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.