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Finding the Third Proportional to 6,239,824 and 13,410,945

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Solution

The third proportional to 6,239,824 and 13,410,945 is: 28,823,480.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,239,824 : 13,410,945 = 13,410,945 : x
  2. Step 2: Convert to fraction form
    6,239,824/13,410,945 = 13,410,945/x
  3. Step 3: Cross multiply
    6,239,824x = 13,410,945 × 13,410,945
  4. Step 4: Simplify right side
    6,239,824x = 179,853,445,793,025
  5. Step 5: Solve for x
    x = 179,853,445,793,025/6,239,824
  6. Step 6: Final answer
    x = 28,823,480.57

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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.