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Finding the Third Proportional to 2,468,005.50 and 5,408,715

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Solution

The third proportional to 2,468,005.50 and 5,408,715 is: 11,853,376.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468,005.50 : 5,408,715 = 5,408,715 : x
  2. Step 2: Convert to fraction form
    2,468,005.50/5,408,715 = 5,408,715/x
  3. Step 3: Cross multiply
    2,468,005.50x = 5,408,715 × 5,408,715
  4. Step 4: Simplify right side
    2,468,005.50x = 29,254,197,951,225
  5. Step 5: Solve for x
    x = 29,254,197,951,225/2,468,005.50
  6. Step 6: Final answer
    x = 11,853,376.32

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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.