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Finding the Third Proportional to 3,669,663 and 5,664,794

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Solution

The third proportional to 3,669,663 and 5,664,794 is: 8,744,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,663 : 5,664,794 = 5,664,794 : x
  2. Step 2: Convert to fraction form
    3,669,663/5,664,794 = 5,664,794/x
  3. Step 3: Cross multiply
    3,669,663x = 5,664,794 × 5,664,794
  4. Step 4: Simplify right side
    3,669,663x = 32,089,891,062,436
  5. Step 5: Solve for x
    x = 32,089,891,062,436/3,669,663
  6. Step 6: Final answer
    x = 8,744,642.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.