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Finding the Third Proportional to 5,254,544 and 11,294,912

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Solution

The third proportional to 5,254,544 and 11,294,912 is: 24,278,993.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254,544 : 11,294,912 = 11,294,912 : x
  2. Step 2: Convert to fraction form
    5,254,544/11,294,912 = 11,294,912/x
  3. Step 3: Cross multiply
    5,254,544x = 11,294,912 × 11,294,912
  4. Step 4: Simplify right side
    5,254,544x = 127,575,037,087,744
  5. Step 5: Solve for x
    x = 127,575,037,087,744/5,254,544
  6. Step 6: Final answer
    x = 24,278,993.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.