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Finding the Third Proportional to 5,505,138 and 11,896,012

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Solution

The third proportional to 5,505,138 and 11,896,012 is: 25,706,004.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505,138 : 11,896,012 = 11,896,012 : x
  2. Step 2: Convert to fraction form
    5,505,138/11,896,012 = 11,896,012/x
  3. Step 3: Cross multiply
    5,505,138x = 11,896,012 × 11,896,012
  4. Step 4: Simplify right side
    5,505,138x = 141,515,101,504,144
  5. Step 5: Solve for x
    x = 141,515,101,504,144/5,505,138
  6. Step 6: Final answer
    x = 25,706,004.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.