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Finding the Third Proportional to 6,213,879.75 and 13,503,357

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Solution

The third proportional to 6,213,879.75 and 13,503,357 is: 29,344,090.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213,879.75 : 13,503,357 = 13,503,357 : x
  2. Step 2: Convert to fraction form
    6,213,879.75/13,503,357 = 13,503,357/x
  3. Step 3: Cross multiply
    6,213,879.75x = 13,503,357 × 13,503,357
  4. Step 4: Simplify right side
    6,213,879.75x = 182,340,650,269,449
  5. Step 5: Solve for x
    x = 182,340,650,269,449/6,213,879.75
  6. Step 6: Final answer
    x = 29,344,090.59

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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.