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Finding the Third Proportional to 2,692,811 and 5,763,868

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Solution

The third proportional to 2,692,811 and 5,763,868 is: 12,337,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692,811 : 5,763,868 = 5,763,868 : x
  2. Step 2: Convert to fraction form
    2,692,811/5,763,868 = 5,763,868/x
  3. Step 3: Cross multiply
    2,692,811x = 5,763,868 × 5,763,868
  4. Step 4: Simplify right side
    2,692,811x = 33,222,174,321,424
  5. Step 5: Solve for x
    x = 33,222,174,321,424/2,692,811
  6. Step 6: Final answer
    x = 12,337,358.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.