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Finding the Third Proportional to 3,408,075 and 7,347,591

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Solution

The third proportional to 3,408,075 and 7,347,591 is: 15,840,934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408,075 : 7,347,591 = 7,347,591 : x
  2. Step 2: Convert to fraction form
    3,408,075/7,347,591 = 7,347,591/x
  3. Step 3: Cross multiply
    3,408,075x = 7,347,591 × 7,347,591
  4. Step 4: Simplify right side
    3,408,075x = 53,987,093,503,281
  5. Step 5: Solve for x
    x = 53,987,093,503,281/3,408,075
  6. Step 6: Final answer
    x = 15,840,934.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.