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Finding the Third Proportional to 36,091,706 and 77,936,231

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Solution

The third proportional to 36,091,706 and 77,936,231 is: 168,295,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,091,706 : 77,936,231 = 77,936,231 : x
  2. Step 2: Convert to fraction form
    36,091,706/77,936,231 = 77,936,231/x
  3. Step 3: Cross multiply
    36,091,706x = 77,936,231 × 77,936,231
  4. Step 4: Simplify right side
    36,091,706x = 6,074,056,102,485,361
  5. Step 5: Solve for x
    x = 6,074,056,102,485,361/36,091,706
  6. Step 6: Final answer
    x = 168,295,067.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.