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Finding the Third Proportional to 10,751,348 and 16,647,042

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Solution

The third proportional to 10,751,348 and 16,647,042 is: 25,775,745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751,348 : 16,647,042 = 16,647,042 : x
  2. Step 2: Convert to fraction form
    10,751,348/16,647,042 = 16,647,042/x
  3. Step 3: Cross multiply
    10,751,348x = 16,647,042 × 16,647,042
  4. Step 4: Simplify right side
    10,751,348x = 277,124,007,349,764
  5. Step 5: Solve for x
    x = 277,124,007,349,764/10,751,348
  6. Step 6: Final answer
    x = 25,775,745.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.