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Finding the Third Proportional to 3,177,456 and 6,809,772

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Solution

The third proportional to 3,177,456 and 6,809,772 is: 14,594,378.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177,456 : 6,809,772 = 6,809,772 : x
  2. Step 2: Convert to fraction form
    3,177,456/6,809,772 = 6,809,772/x
  3. Step 3: Cross multiply
    3,177,456x = 6,809,772 × 6,809,772
  4. Step 4: Simplify right side
    3,177,456x = 46,372,994,691,984
  5. Step 5: Solve for x
    x = 46,372,994,691,984/3,177,456
  6. Step 6: Final answer
    x = 14,594,378.24

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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.