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Finding the Third Proportional to 2,311,749 and 5,017,434.75

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Solution

The third proportional to 2,311,749 and 5,017,434.75 is: 10,889,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311,749 : 5,017,434.75 = 5,017,434.75 : x
  2. Step 2: Convert to fraction form
    2,311,749/5,017,434.75 = 5,017,434.75/x
  3. Step 3: Cross multiply
    2,311,749x = 5,017,434.75 × 5,017,434.75
  4. Step 4: Simplify right side
    2,311,749x = 25,174,651,470,507.56
  5. Step 5: Solve for x
    x = 25,174,651,470,507.56/2,311,749
  6. Step 6: Final answer
    x = 10,889,872.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.