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Finding the Third Proportional to 5,530,025.25 and 8,463,436.88

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Solution

The third proportional to 5,530,025.25 and 8,463,436.88 is: 12,952,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530,025.25 : 8,463,436.88 = 8,463,436.88 : x
  2. Step 2: Convert to fraction form
    5,530,025.25/8,463,436.88 = 8,463,436.88/x
  3. Step 3: Cross multiply
    5,530,025.25x = 8,463,436.88 × 8,463,436.88
  4. Step 4: Simplify right side
    5,530,025.25x = 71,629,763,737,109.77
  5. Step 5: Solve for x
    x = 71,629,763,737,109.77/5,530,025.25
  6. Step 6: Final answer
    x = 12,952,881.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.