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Finding the Third Proportional to 9,524,866 and 20,899,523.50

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Solution

The third proportional to 9,524,866 and 20,899,523.50 is: 45,857,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524,866 : 20,899,523.50 = 20,899,523.50 : x
  2. Step 2: Convert to fraction form
    9,524,866/20,899,523.50 = 20,899,523.50/x
  3. Step 3: Cross multiply
    9,524,866x = 20,899,523.50 × 20,899,523.50
  4. Step 4: Simplify right side
    9,524,866x = 436,790,082,527,052.25
  5. Step 5: Solve for x
    x = 436,790,082,527,052.25/9,524,866
  6. Step 6: Final answer
    x = 45,857,871.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.