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Finding the Third Proportional to 2,331,940 and 5,099,912

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Solution

The third proportional to 2,331,940 and 5,099,912 is: 11,153,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331,940 : 5,099,912 = 5,099,912 : x
  2. Step 2: Convert to fraction form
    2,331,940/5,099,912 = 5,099,912/x
  3. Step 3: Cross multiply
    2,331,940x = 5,099,912 × 5,099,912
  4. Step 4: Simplify right side
    2,331,940x = 26,009,102,407,744
  5. Step 5: Solve for x
    x = 26,009,102,407,744/2,331,940
  6. Step 6: Final answer
    x = 11,153,418.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.