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Finding the Third Proportional to 5,456,923 and 9,094,324

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Solution

The third proportional to 5,456,923 and 9,094,324 is: 15,156,293.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456,923 : 9,094,324 = 9,094,324 : x
  2. Step 2: Convert to fraction form
    5,456,923/9,094,324 = 9,094,324/x
  3. Step 3: Cross multiply
    5,456,923x = 9,094,324 × 9,094,324
  4. Step 4: Simplify right side
    5,456,923x = 82,706,729,016,976
  5. Step 5: Solve for x
    x = 82,706,729,016,976/5,456,923
  6. Step 6: Final answer
    x = 15,156,293.94

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.