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Finding the Third Proportional to 7,851,257 and 11,816,198

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Solution

The third proportional to 7,851,257 and 11,816,198 is: 17,783,462.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851,257 : 11,816,198 = 11,816,198 : x
  2. Step 2: Convert to fraction form
    7,851,257/11,816,198 = 11,816,198/x
  3. Step 3: Cross multiply
    7,851,257x = 11,816,198 × 11,816,198
  4. Step 4: Simplify right side
    7,851,257x = 139,622,535,175,204
  5. Step 5: Solve for x
    x = 139,622,535,175,204/7,851,257
  6. Step 6: Final answer
    x = 17,783,462.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.