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Finding the Third Proportional to 20,771,460.50 and 48,082,169.50

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Solution

The third proportional to 20,771,460.50 and 48,082,169.50 is: 111,301,515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,771,460.50 : 48,082,169.50 = 48,082,169.50 : x
  2. Step 2: Convert to fraction form
    20,771,460.50/48,082,169.50 = 48,082,169.50/x
  3. Step 3: Cross multiply
    20,771,460.50x = 48,082,169.50 × 48,082,169.50
  4. Step 4: Simplify right side
    20,771,460.50x = 2,311,895,023,826,730
  5. Step 5: Solve for x
    x = 2,311,895,023,826,730/20,771,460.50
  6. Step 6: Final answer
    x = 111,301,515.07

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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.