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Finding the Third Proportional to 3,084,064 and 6,682,960

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Solution

The third proportional to 3,084,064 and 6,682,960 is: 14,481,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,064 : 6,682,960 = 6,682,960 : x
  2. Step 2: Convert to fraction form
    3,084,064/6,682,960 = 6,682,960/x
  3. Step 3: Cross multiply
    3,084,064x = 6,682,960 × 6,682,960
  4. Step 4: Simplify right side
    3,084,064x = 44,661,954,361,600
  5. Step 5: Solve for x
    x = 44,661,954,361,600/3,084,064
  6. Step 6: Final answer
    x = 14,481,526.44

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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.