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Finding the Third Proportional to 3,241,797 and 6,986,361

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Solution

The third proportional to 3,241,797 and 6,986,361 is: 15,056,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241,797 : 6,986,361 = 6,986,361 : x
  2. Step 2: Convert to fraction form
    3,241,797/6,986,361 = 6,986,361/x
  3. Step 3: Cross multiply
    3,241,797x = 6,986,361 × 6,986,361
  4. Step 4: Simplify right side
    3,241,797x = 48,809,240,022,321
  5. Step 5: Solve for x
    x = 48,809,240,022,321/3,241,797
  6. Step 6: Final answer
    x = 15,056,229.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.