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Finding the Third Proportional to 3,144,912 and 6,738,564

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Solution

The third proportional to 3,144,912 and 6,738,564 is: 14,438,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144,912 : 6,738,564 = 6,738,564 : x
  2. Step 2: Convert to fraction form
    3,144,912/6,738,564 = 6,738,564/x
  3. Step 3: Cross multiply
    3,144,912x = 6,738,564 × 6,738,564
  4. Step 4: Simplify right side
    3,144,912x = 45,408,244,782,096
  5. Step 5: Solve for x
    x = 45,408,244,782,096/3,144,912
  6. Step 6: Final answer
    x = 14,438,637.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.