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Finding the Third Proportional to 5,601,595.50 and 11,408,748.75

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Solution

The third proportional to 5,601,595.50 and 11,408,748.75 is: 23,236,156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601,595.50 : 11,408,748.75 = 11,408,748.75 : x
  2. Step 2: Convert to fraction form
    5,601,595.50/11,408,748.75 = 11,408,748.75/x
  3. Step 3: Cross multiply
    5,601,595.50x = 11,408,748.75 × 11,408,748.75
  4. Step 4: Simplify right side
    5,601,595.50x = 130,159,548,040,626.56
  5. Step 5: Solve for x
    x = 130,159,548,040,626.56/5,601,595.50
  6. Step 6: Final answer
    x = 23,236,156.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.