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Finding the Third Proportional to 6,408,864 and 14,033,364.75

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Solution

The third proportional to 6,408,864 and 14,033,364.75 is: 30,728,585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408,864 : 14,033,364.75 = 14,033,364.75 : x
  2. Step 2: Convert to fraction form
    6,408,864/14,033,364.75 = 14,033,364.75/x
  3. Step 3: Cross multiply
    6,408,864x = 14,033,364.75 × 14,033,364.75
  4. Step 4: Simplify right side
    6,408,864x = 196,935,326,206,542.56
  5. Step 5: Solve for x
    x = 196,935,326,206,542.56/6,408,864
  6. Step 6: Final answer
    x = 30,728,585.63

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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.