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Finding the Third Proportional to 19,957,846 and 27,806,307

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Solution

The third proportional to 19,957,846 and 27,806,307 is: 38,741,190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957,846 : 27,806,307 = 27,806,307 : x
  2. Step 2: Convert to fraction form
    19,957,846/27,806,307 = 27,806,307/x
  3. Step 3: Cross multiply
    19,957,846x = 27,806,307 × 27,806,307
  4. Step 4: Simplify right side
    19,957,846x = 773,190,708,978,249
  5. Step 5: Solve for x
    x = 773,190,708,978,249/19,957,846
  6. Step 6: Final answer
    x = 38,741,190.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.