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Finding the Third Proportional to 5,210,911 and 11,481,965

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Solution

The third proportional to 5,210,911 and 11,481,965 is: 25,299,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210,911 : 11,481,965 = 11,481,965 : x
  2. Step 2: Convert to fraction form
    5,210,911/11,481,965 = 11,481,965/x
  3. Step 3: Cross multiply
    5,210,911x = 11,481,965 × 11,481,965
  4. Step 4: Simplify right side
    5,210,911x = 131,835,520,261,225
  5. Step 5: Solve for x
    x = 131,835,520,261,225/5,210,911
  6. Step 6: Final answer
    x = 25,299,898.67

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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.