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Finding the Third Proportional to 5,151,611 and 11,188,174

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Solution

The third proportional to 5,151,611 and 11,188,174 is: 24,298,270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151,611 : 11,188,174 = 11,188,174 : x
  2. Step 2: Convert to fraction form
    5,151,611/11,188,174 = 11,188,174/x
  3. Step 3: Cross multiply
    5,151,611x = 11,188,174 × 11,188,174
  4. Step 4: Simplify right side
    5,151,611x = 125,175,237,454,276
  5. Step 5: Solve for x
    x = 125,175,237,454,276/5,151,611
  6. Step 6: Final answer
    x = 24,298,270.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.