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Finding the Third Proportional to 6,729,520.50 and 14,594,823

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Solution

The third proportional to 6,729,520.50 and 14,594,823 is: 31,652,902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,520.50 : 14,594,823 = 14,594,823 : x
  2. Step 2: Convert to fraction form
    6,729,520.50/14,594,823 = 14,594,823/x
  3. Step 3: Cross multiply
    6,729,520.50x = 14,594,823 × 14,594,823
  4. Step 4: Simplify right side
    6,729,520.50x = 213,008,858,401,329
  5. Step 5: Solve for x
    x = 213,008,858,401,329/6,729,520.50
  6. Step 6: Final answer
    x = 31,652,902.82

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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.