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Finding the Third Proportional to 4,725,252 and 7,144,257

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Solution

The third proportional to 4,725,252 and 7,144,257 is: 10,801,626.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725,252 : 7,144,257 = 7,144,257 : x
  2. Step 2: Convert to fraction form
    4,725,252/7,144,257 = 7,144,257/x
  3. Step 3: Cross multiply
    4,725,252x = 7,144,257 × 7,144,257
  4. Step 4: Simplify right side
    4,725,252x = 51,040,408,082,049
  5. Step 5: Solve for x
    x = 51,040,408,082,049/4,725,252
  6. Step 6: Final answer
    x = 10,801,626.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.