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Finding the Third Proportional to 5,144,774 and 11,174,956

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Solution

The third proportional to 5,144,774 and 11,174,956 is: 24,273,105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144,774 : 11,174,956 = 11,174,956 : x
  2. Step 2: Convert to fraction form
    5,144,774/11,174,956 = 11,174,956/x
  3. Step 3: Cross multiply
    5,144,774x = 11,174,956 × 11,174,956
  4. Step 4: Simplify right side
    5,144,774x = 124,879,641,601,936
  5. Step 5: Solve for x
    x = 124,879,641,601,936/5,144,774
  6. Step 6: Final answer
    x = 24,273,105.41

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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.