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Finding the Third Proportional to 3,084,033 and 6,682,901

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Solution

The third proportional to 3,084,033 and 6,682,901 is: 14,481,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,033 : 6,682,901 = 6,682,901 : x
  2. Step 2: Convert to fraction form
    3,084,033/6,682,901 = 6,682,901/x
  3. Step 3: Cross multiply
    3,084,033x = 6,682,901 × 6,682,901
  4. Step 4: Simplify right side
    3,084,033x = 44,661,165,775,801
  5. Step 5: Solve for x
    x = 44,661,165,775,801/3,084,033
  6. Step 6: Final answer
    x = 14,481,416.31

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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.