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Finding the Third Proportional to 9,524,864.50 and 20,899,521

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Solution

The third proportional to 9,524,864.50 and 20,899,521 is: 45,857,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524,864.50 : 20,899,521 = 20,899,521 : x
  2. Step 2: Convert to fraction form
    9,524,864.50/20,899,521 = 20,899,521/x
  3. Step 3: Cross multiply
    9,524,864.50x = 20,899,521 × 20,899,521
  4. Step 4: Simplify right side
    9,524,864.50x = 436,789,978,029,441
  5. Step 5: Solve for x
    x = 436,789,978,029,441/9,524,864.50
  6. Step 6: Final answer
    x = 45,857,867.90

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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.