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Finding the Third Proportional to 2,271,427.50 and 5,003,745

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Solution

The third proportional to 2,271,427.50 and 5,003,745 is: 11,022,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271,427.50 : 5,003,745 = 5,003,745 : x
  2. Step 2: Convert to fraction form
    2,271,427.50/5,003,745 = 5,003,745/x
  3. Step 3: Cross multiply
    2,271,427.50x = 5,003,745 × 5,003,745
  4. Step 4: Simplify right side
    2,271,427.50x = 25,037,464,025,025
  5. Step 5: Solve for x
    x = 25,037,464,025,025/2,271,427.50
  6. Step 6: Final answer
    x = 11,022,788.10

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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.