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Finding the Third Proportional to 3,084,031 and 6,682,897

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Solution

The third proportional to 3,084,031 and 6,682,897 is: 14,481,408.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,031 : 6,682,897 = 6,682,897 : x
  2. Step 2: Convert to fraction form
    3,084,031/6,682,897 = 6,682,897/x
  3. Step 3: Cross multiply
    3,084,031x = 6,682,897 × 6,682,897
  4. Step 4: Simplify right side
    3,084,031x = 44,661,112,312,609
  5. Step 5: Solve for x
    x = 44,661,112,312,609/3,084,031
  6. Step 6: Final answer
    x = 14,481,408.36

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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.