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Finding the Third Proportional to 3,475,814 and 7,269,424

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Solution

The third proportional to 3,475,814 and 7,269,424 is: 15,203,496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475,814 : 7,269,424 = 7,269,424 : x
  2. Step 2: Convert to fraction form
    3,475,814/7,269,424 = 7,269,424/x
  3. Step 3: Cross multiply
    3,475,814x = 7,269,424 × 7,269,424
  4. Step 4: Simplify right side
    3,475,814x = 52,844,525,291,776
  5. Step 5: Solve for x
    x = 52,844,525,291,776/3,475,814
  6. Step 6: Final answer
    x = 15,203,496.30

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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.