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Finding the Third Proportional to 20,771,467 and 48,082,176

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Solution

The third proportional to 20,771,467 and 48,082,176 is: 111,301,510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,771,467 : 48,082,176 = 48,082,176 : x
  2. Step 2: Convert to fraction form
    20,771,467/48,082,176 = 48,082,176/x
  3. Step 3: Cross multiply
    20,771,467x = 48,082,176 × 48,082,176
  4. Step 4: Simplify right side
    20,771,467x = 2,311,895,648,894,976
  5. Step 5: Solve for x
    x = 2,311,895,648,894,976/20,771,467
  6. Step 6: Final answer
    x = 111,301,510.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.