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Finding the Third Proportional to 7,797,972 and 17,388,939

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Solution

The third proportional to 7,797,972 and 17,388,939 is: 38,776,133.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797,972 : 17,388,939 = 17,388,939 : x
  2. Step 2: Convert to fraction form
    7,797,972/17,388,939 = 17,388,939/x
  3. Step 3: Cross multiply
    7,797,972x = 17,388,939 × 17,388,939
  4. Step 4: Simplify right side
    7,797,972x = 302,375,199,545,721
  5. Step 5: Solve for x
    x = 302,375,199,545,721/7,797,972
  6. Step 6: Final answer
    x = 38,776,133.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.