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Finding the Third Proportional to 4,694,764 and 10,286,197

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Solution

The third proportional to 4,694,764 and 10,286,197 is: 22,536,989.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694,764 : 10,286,197 = 10,286,197 : x
  2. Step 2: Convert to fraction form
    4,694,764/10,286,197 = 10,286,197/x
  3. Step 3: Cross multiply
    4,694,764x = 10,286,197 × 10,286,197
  4. Step 4: Simplify right side
    4,694,764x = 105,805,848,722,809
  5. Step 5: Solve for x
    x = 105,805,848,722,809/4,694,764
  6. Step 6: Final answer
    x = 22,536,989.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.