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Finding the Third Proportional to 3,289,914 and 7,615,677

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Solution

The third proportional to 3,289,914 and 7,615,677 is: 17,629,195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289,914 : 7,615,677 = 7,615,677 : x
  2. Step 2: Convert to fraction form
    3,289,914/7,615,677 = 7,615,677/x
  3. Step 3: Cross multiply
    3,289,914x = 7,615,677 × 7,615,677
  4. Step 4: Simplify right side
    3,289,914x = 57,998,536,168,329
  5. Step 5: Solve for x
    x = 57,998,536,168,329/3,289,914
  6. Step 6: Final answer
    x = 17,629,195.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.