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Finding the Third Proportional to 3,475,813 and 7,269,422

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Solution

The third proportional to 3,475,813 and 7,269,422 is: 15,203,492.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475,813 : 7,269,422 = 7,269,422 : x
  2. Step 2: Convert to fraction form
    3,475,813/7,269,422 = 7,269,422/x
  3. Step 3: Cross multiply
    3,475,813x = 7,269,422 × 7,269,422
  4. Step 4: Simplify right side
    3,475,813x = 52,844,496,214,084
  5. Step 5: Solve for x
    x = 52,844,496,214,084/3,475,813
  6. Step 6: Final answer
    x = 15,203,492.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.