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Finding the Third Proportional to 3,968,977.78 and 5,589,383.06

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Solution

The third proportional to 3,968,977.78 and 5,589,383.06 is: 7,871,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968,977.78 : 5,589,383.06 = 5,589,383.06 : x
  2. Step 2: Convert to fraction form
    3,968,977.78/5,589,383.06 = 5,589,383.06/x
  3. Step 3: Cross multiply
    3,968,977.78x = 5,589,383.06 × 5,589,383.06
  4. Step 4: Simplify right side
    3,968,977.78x = 31,241,203,019,361.88
  5. Step 5: Solve for x
    x = 31,241,203,019,361.88/3,968,977.78
  6. Step 6: Final answer
    x = 7,871,347.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.