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Finding the Third Proportional to 2,271,403.50 and 5,003,697

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Solution

The third proportional to 2,271,403.50 and 5,003,697 is: 11,022,693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271,403.50 : 5,003,697 = 5,003,697 : x
  2. Step 2: Convert to fraction form
    2,271,403.50/5,003,697 = 5,003,697/x
  3. Step 3: Cross multiply
    2,271,403.50x = 5,003,697 × 5,003,697
  4. Step 4: Simplify right side
    2,271,403.50x = 25,036,983,667,809
  5. Step 5: Solve for x
    x = 25,036,983,667,809/2,271,403.50
  6. Step 6: Final answer
    x = 11,022,693.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.