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Finding the Third Proportional to 7,111,378 and 11,296,923

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Solution

The third proportional to 7,111,378 and 11,296,923 is: 17,945,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111,378 : 11,296,923 = 11,296,923 : x
  2. Step 2: Convert to fraction form
    7,111,378/11,296,923 = 11,296,923/x
  3. Step 3: Cross multiply
    7,111,378x = 11,296,923 × 11,296,923
  4. Step 4: Simplify right side
    7,111,378x = 127,620,469,267,929
  5. Step 5: Solve for x
    x = 127,620,469,267,929/7,111,378
  6. Step 6: Final answer
    x = 17,945,954.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.