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Finding the Third Proportional to 6,204,683 and 9,269,481

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Solution

The third proportional to 6,204,683 and 9,269,481 is: 13,848,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204,683 : 9,269,481 = 9,269,481 : x
  2. Step 2: Convert to fraction form
    6,204,683/9,269,481 = 9,269,481/x
  3. Step 3: Cross multiply
    6,204,683x = 9,269,481 × 9,269,481
  4. Step 4: Simplify right side
    6,204,683x = 85,923,278,009,361
  5. Step 5: Solve for x
    x = 85,923,278,009,361/6,204,683
  6. Step 6: Final answer
    x = 13,848,133.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.