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Finding the Third Proportional to 20,771,461 and 48,082,172

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Solution

The third proportional to 20,771,461 and 48,082,172 is: 111,301,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,771,461 : 48,082,172 = 48,082,172 : x
  2. Step 2: Convert to fraction form
    20,771,461/48,082,172 = 48,082,172/x
  3. Step 3: Cross multiply
    20,771,461x = 48,082,172 × 48,082,172
  4. Step 4: Simplify right side
    20,771,461x = 2,311,895,264,237,584
  5. Step 5: Solve for x
    x = 2,311,895,264,237,584/20,771,461
  6. Step 6: Final answer
    x = 111,301,523.96

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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.