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Finding the Third Proportional to 3,140,064 and 6,777,504

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Solution

The third proportional to 3,140,064 and 6,777,504 is: 14,628,542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140,064 : 6,777,504 = 6,777,504 : x
  2. Step 2: Convert to fraction form
    3,140,064/6,777,504 = 6,777,504/x
  3. Step 3: Cross multiply
    3,140,064x = 6,777,504 × 6,777,504
  4. Step 4: Simplify right side
    3,140,064x = 45,934,560,470,016
  5. Step 5: Solve for x
    x = 45,934,560,470,016/3,140,064
  6. Step 6: Final answer
    x = 14,628,542.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.