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Finding the Third Proportional to 9,664,825.50 and 20,842,049.25

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Solution

The third proportional to 9,664,825.50 and 20,842,049.25 is: 44,945,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664,825.50 : 20,842,049.25 = 20,842,049.25 : x
  2. Step 2: Convert to fraction form
    9,664,825.50/20,842,049.25 = 20,842,049.25/x
  3. Step 3: Cross multiply
    9,664,825.50x = 20,842,049.25 × 20,842,049.25
  4. Step 4: Simplify right side
    9,664,825.50x = 434,391,016,939,425.56
  5. Step 5: Solve for x
    x = 434,391,016,939,425.56/9,664,825.50
  6. Step 6: Final answer
    x = 44,945,562.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.