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Finding the Third Proportional to 3,177,434 and 6,809,728

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Solution

The third proportional to 3,177,434 and 6,809,728 is: 14,594,290.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177,434 : 6,809,728 = 6,809,728 : x
  2. Step 2: Convert to fraction form
    3,177,434/6,809,728 = 6,809,728/x
  3. Step 3: Cross multiply
    3,177,434x = 6,809,728 × 6,809,728
  4. Step 4: Simplify right side
    3,177,434x = 46,372,395,433,984
  5. Step 5: Solve for x
    x = 46,372,395,433,984/3,177,434
  6. Step 6: Final answer
    x = 14,594,290.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.