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Finding the Third Proportional to 3,408,296.06 and 7,468,424.06

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Solution

The third proportional to 3,408,296.06 and 7,468,424.06 is: 16,365,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408,296.06 : 7,468,424.06 = 7,468,424.06 : x
  2. Step 2: Convert to fraction form
    3,408,296.06/7,468,424.06 = 7,468,424.06/x
  3. Step 3: Cross multiply
    3,408,296.06x = 7,468,424.06 × 7,468,424.06
  4. Step 4: Simplify right side
    3,408,296.06x = 55,777,357,977,329
  5. Step 5: Solve for x
    x = 55,777,357,977,329/3,408,296.06
  6. Step 6: Final answer
    x = 16,365,173.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.