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Finding the Third Proportional to 5,915,744 and 12,728,176

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Solution

The third proportional to 5,915,744 and 12,728,176 is: 27,385,644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,915,744 : 12,728,176 = 12,728,176 : x
  2. Step 2: Convert to fraction form
    5,915,744/12,728,176 = 12,728,176/x
  3. Step 3: Cross multiply
    5,915,744x = 12,728,176 × 12,728,176
  4. Step 4: Simplify right side
    5,915,744x = 162,006,464,286,976
  5. Step 5: Solve for x
    x = 162,006,464,286,976/5,915,744
  6. Step 6: Final answer
    x = 27,385,644.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.