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Finding the Third Proportional to 3,475,826 and 7,269,448

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Solution

The third proportional to 3,475,826 and 7,269,448 is: 15,203,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475,826 : 7,269,448 = 7,269,448 : x
  2. Step 2: Convert to fraction form
    3,475,826/7,269,448 = 7,269,448/x
  3. Step 3: Cross multiply
    3,475,826x = 7,269,448 × 7,269,448
  4. Step 4: Simplify right side
    3,475,826x = 52,844,874,224,704
  5. Step 5: Solve for x
    x = 52,844,874,224,704/3,475,826
  6. Step 6: Final answer
    x = 15,203,544.20

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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.