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Finding the Third Proportional to 2,804,996.25 and 6,142,034.25

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Solution

The third proportional to 2,804,996.25 and 6,142,034.25 is: 13,449,067.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804,996.25 : 6,142,034.25 = 6,142,034.25 : x
  2. Step 2: Convert to fraction form
    2,804,996.25/6,142,034.25 = 6,142,034.25/x
  3. Step 3: Cross multiply
    2,804,996.25x = 6,142,034.25 × 6,142,034.25
  4. Step 4: Simplify right side
    2,804,996.25x = 37,724,584,728,173.06
  5. Step 5: Solve for x
    x = 37,724,584,728,173.06/2,804,996.25
  6. Step 6: Final answer
    x = 13,449,067.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.