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Finding the Third Proportional to 36,972,731 and 79,791,232

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Solution

The third proportional to 36,972,731 and 79,791,232 is: 172,198,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,972,731 : 79,791,232 = 79,791,232 : x
  2. Step 2: Convert to fraction form
    36,972,731/79,791,232 = 79,791,232/x
  3. Step 3: Cross multiply
    36,972,731x = 79,791,232 × 79,791,232
  4. Step 4: Simplify right side
    36,972,731x = 6,366,640,704,077,824
  5. Step 5: Solve for x
    x = 6,366,640,704,077,824/36,972,731
  6. Step 6: Final answer
    x = 172,198,280.51

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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.