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Finding the Third Proportional to 3,475,780 and 7,269,360

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Solution

The third proportional to 3,475,780 and 7,269,360 is: 15,203,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475,780 : 7,269,360 = 7,269,360 : x
  2. Step 2: Convert to fraction form
    3,475,780/7,269,360 = 7,269,360/x
  3. Step 3: Cross multiply
    3,475,780x = 7,269,360 × 7,269,360
  4. Step 4: Simplify right side
    3,475,780x = 52,843,594,809,600
  5. Step 5: Solve for x
    x = 52,843,594,809,600/3,475,780
  6. Step 6: Final answer
    x = 15,203,377.32

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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.