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Finding the Third Proportional to 9,463,648 and 20,588,049.50

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Solution

The third proportional to 9,463,648 and 20,588,049.50 is: 44,789,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463,648 : 20,588,049.50 = 20,588,049.50 : x
  2. Step 2: Convert to fraction form
    9,463,648/20,588,049.50 = 20,588,049.50/x
  3. Step 3: Cross multiply
    9,463,648x = 20,588,049.50 × 20,588,049.50
  4. Step 4: Simplify right side
    9,463,648x = 423,867,782,214,450.25
  5. Step 5: Solve for x
    x = 423,867,782,214,450.25/9,463,648
  6. Step 6: Final answer
    x = 44,789,047.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.