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Finding the Third Proportional to 6,787,400.06 and 13,873,735.69

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Solution

The third proportional to 6,787,400.06 and 13,873,735.69 is: 28,358,508.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787,400.06 : 13,873,735.69 = 13,873,735.69 : x
  2. Step 2: Convert to fraction form
    6,787,400.06/13,873,735.69 = 13,873,735.69/x
  3. Step 3: Cross multiply
    6,787,400.06x = 13,873,735.69 × 13,873,735.69
  4. Step 4: Simplify right side
    6,787,400.06x = 192,480,541,926,611.09
  5. Step 5: Solve for x
    x = 192,480,541,926,611.09/6,787,400.06
  6. Step 6: Final answer
    x = 28,358,508.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.