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Finding the Third Proportional to 6,787,400.06 and 9,494,245.41

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Solution

The third proportional to 6,787,400.06 and 9,494,245.41 is: 13,280,592.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787,400.06 : 9,494,245.41 = 9,494,245.41 : x
  2. Step 2: Convert to fraction form
    6,787,400.06/9,494,245.41 = 9,494,245.41/x
  3. Step 3: Cross multiply
    6,787,400.06x = 9,494,245.41 × 9,494,245.41
  4. Step 4: Simplify right side
    6,787,400.06x = 90,140,695,834,099.23
  5. Step 5: Solve for x
    x = 90,140,695,834,099.23/6,787,400.06
  6. Step 6: Final answer
    x = 13,280,592.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.