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Finding the Third Proportional to 16,715,184 and 25,206,912

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Solution

The third proportional to 16,715,184 and 25,206,912 is: 38,012,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,715,184 : 25,206,912 = 25,206,912 : x
  2. Step 2: Convert to fraction form
    16,715,184/25,206,912 = 25,206,912/x
  3. Step 3: Cross multiply
    16,715,184x = 25,206,912 × 25,206,912
  4. Step 4: Simplify right side
    16,715,184x = 635,388,412,575,744
  5. Step 5: Solve for x
    x = 635,388,412,575,744/16,715,184
  6. Step 6: Final answer
    x = 38,012,648.41

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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.