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Finding the Third Proportional to 3,475,817 and 7,269,430

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Solution

The third proportional to 3,475,817 and 7,269,430 is: 15,203,508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475,817 : 7,269,430 = 7,269,430 : x
  2. Step 2: Convert to fraction form
    3,475,817/7,269,430 = 7,269,430/x
  3. Step 3: Cross multiply
    3,475,817x = 7,269,430 × 7,269,430
  4. Step 4: Simplify right side
    3,475,817x = 52,844,612,524,900
  5. Step 5: Solve for x
    x = 52,844,612,524,900/3,475,817
  6. Step 6: Final answer
    x = 15,203,508.28

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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.