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Finding the Third Proportional to 6,310,923 and 13,823,148

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Solution

The third proportional to 6,310,923 and 13,823,148 is: 30,277,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310,923 : 13,823,148 = 13,823,148 : x
  2. Step 2: Convert to fraction form
    6,310,923/13,823,148 = 13,823,148/x
  3. Step 3: Cross multiply
    6,310,923x = 13,823,148 × 13,823,148
  4. Step 4: Simplify right side
    6,310,923x = 191,079,420,629,904
  5. Step 5: Solve for x
    x = 191,079,420,629,904/6,310,923
  6. Step 6: Final answer
    x = 30,277,571.23

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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.