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Finding the Third Proportional to 3,085,838 and 6,322,012

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Solution

The third proportional to 3,085,838 and 6,322,012 is: 12,952,020.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085,838 : 6,322,012 = 6,322,012 : x
  2. Step 2: Convert to fraction form
    3,085,838/6,322,012 = 6,322,012/x
  3. Step 3: Cross multiply
    3,085,838x = 6,322,012 × 6,322,012
  4. Step 4: Simplify right side
    3,085,838x = 39,967,835,728,144
  5. Step 5: Solve for x
    x = 39,967,835,728,144/3,085,838
  6. Step 6: Final answer
    x = 12,952,020.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.