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Finding the Third Proportional to 2,398,942.51 and 4,967,650.90

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Solution

The third proportional to 2,398,942.51 and 4,967,650.90 is: 10,286,847.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398,942.51 : 4,967,650.90 = 4,967,650.90 : x
  2. Step 2: Convert to fraction form
    2,398,942.51/4,967,650.90 = 4,967,650.90/x
  3. Step 3: Cross multiply
    2,398,942.51x = 4,967,650.90 × 4,967,650.90
  4. Step 4: Simplify right side
    2,398,942.51x = 24,677,555,448,747.89
  5. Step 5: Solve for x
    x = 24,677,555,448,747.89/2,398,942.51
  6. Step 6: Final answer
    x = 10,286,847.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.