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Finding the Third Proportional to 2,468,008 and 5,408,719

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Solution

The third proportional to 2,468,008 and 5,408,719 is: 11,853,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468,008 : 5,408,719 = 5,408,719 : x
  2. Step 2: Convert to fraction form
    2,468,008/5,408,719 = 5,408,719/x
  3. Step 3: Cross multiply
    2,468,008x = 5,408,719 × 5,408,719
  4. Step 4: Simplify right side
    2,468,008x = 29,254,241,220,961
  5. Step 5: Solve for x
    x = 29,254,241,220,961/2,468,008
  6. Step 6: Final answer
    x = 11,853,381.85

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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.