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Finding the Third Proportional to 3,475,812 and 7,269,420

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Solution

The third proportional to 3,475,812 and 7,269,420 is: 15,203,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475,812 : 7,269,420 = 7,269,420 : x
  2. Step 2: Convert to fraction form
    3,475,812/7,269,420 = 7,269,420/x
  3. Step 3: Cross multiply
    3,475,812x = 7,269,420 × 7,269,420
  4. Step 4: Simplify right side
    3,475,812x = 52,844,467,136,400
  5. Step 5: Solve for x
    x = 52,844,467,136,400/3,475,812
  6. Step 6: Final answer
    x = 15,203,488.32

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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.