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Finding the Third Proportional to 2,752,533.75 and 6,476,178.75

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Solution

The third proportional to 2,752,533.75 and 6,476,178.75 is: 15,237,194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752,533.75 : 6,476,178.75 = 6,476,178.75 : x
  2. Step 2: Convert to fraction form
    2,752,533.75/6,476,178.75 = 6,476,178.75/x
  3. Step 3: Cross multiply
    2,752,533.75x = 6,476,178.75 × 6,476,178.75
  4. Step 4: Simplify right side
    2,752,533.75x = 41,940,891,201,951.56
  5. Step 5: Solve for x
    x = 41,940,891,201,951.56/2,752,533.75
  6. Step 6: Final answer
    x = 15,237,194.17

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.