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Finding the Third Proportional to 2,863,069 and 6,174,401

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Solution

The third proportional to 2,863,069 and 6,174,401 is: 13,315,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863,069 : 6,174,401 = 6,174,401 : x
  2. Step 2: Convert to fraction form
    2,863,069/6,174,401 = 6,174,401/x
  3. Step 3: Cross multiply
    2,863,069x = 6,174,401 × 6,174,401
  4. Step 4: Simplify right side
    2,863,069x = 38,123,227,708,801
  5. Step 5: Solve for x
    x = 38,123,227,708,801/2,863,069
  6. Step 6: Final answer
    x = 13,315,511.33

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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.