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Finding the Third Proportional to 7,797,966 and 17,388,936

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Solution

The third proportional to 7,797,966 and 17,388,936 is: 38,776,149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797,966 : 17,388,936 = 17,388,936 : x
  2. Step 2: Convert to fraction form
    7,797,966/17,388,936 = 17,388,936/x
  3. Step 3: Cross multiply
    7,797,966x = 17,388,936 × 17,388,936
  4. Step 4: Simplify right side
    7,797,966x = 302,375,095,212,096
  5. Step 5: Solve for x
    x = 302,375,095,212,096/7,797,966
  6. Step 6: Final answer
    x = 38,776,149.47

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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.