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Finding the Third Proportional to 2,923,056 and 6,375,912

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Solution

The third proportional to 2,923,056 and 6,375,912 is: 13,907,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923,056 : 6,375,912 = 6,375,912 : x
  2. Step 2: Convert to fraction form
    2,923,056/6,375,912 = 6,375,912/x
  3. Step 3: Cross multiply
    2,923,056x = 6,375,912 × 6,375,912
  4. Step 4: Simplify right side
    2,923,056x = 40,652,253,831,744
  5. Step 5: Solve for x
    x = 40,652,253,831,744/2,923,056
  6. Step 6: Final answer
    x = 13,907,449.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.