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Finding the Third Proportional to 4,568,369.63 and 9,753,234.05

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Solution

The third proportional to 4,568,369.63 and 9,753,234.05 is: 20,822,652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568,369.63 : 9,753,234.05 = 9,753,234.05 : x
  2. Step 2: Convert to fraction form
    4,568,369.63/9,753,234.05 = 9,753,234.05/x
  3. Step 3: Cross multiply
    4,568,369.63x = 9,753,234.05 × 9,753,234.05
  4. Step 4: Simplify right side
    4,568,369.63x = 95,125,574,373,121.69
  5. Step 5: Solve for x
    x = 95,125,574,373,121.69/4,568,369.63
  6. Step 6: Final answer
    x = 20,822,652.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.