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Finding the Third Proportional to 36,451,631 and 51,273,741

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Solution

The third proportional to 36,451,631 and 51,273,741 is: 72,122,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,451,631 : 51,273,741 = 51,273,741 : x
  2. Step 2: Convert to fraction form
    36,451,631/51,273,741 = 51,273,741/x
  3. Step 3: Cross multiply
    36,451,631x = 51,273,741 × 51,273,741
  4. Step 4: Simplify right side
    36,451,631x = 2,628,996,516,135,081
  5. Step 5: Solve for x
    x = 2,628,996,516,135,081/36,451,631
  6. Step 6: Final answer
    x = 72,122,877.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.