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Finding the Third Proportional to 8,122,833 and 17,646,198

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Solution

The third proportional to 8,122,833 and 17,646,198 is: 38,334,938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122,833 : 17,646,198 = 17,646,198 : x
  2. Step 2: Convert to fraction form
    8,122,833/17,646,198 = 17,646,198/x
  3. Step 3: Cross multiply
    8,122,833x = 17,646,198 × 17,646,198
  4. Step 4: Simplify right side
    8,122,833x = 311,388,303,855,204
  5. Step 5: Solve for x
    x = 311,388,303,855,204/8,122,833
  6. Step 6: Final answer
    x = 38,334,938.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.