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Finding the Third Proportional to 2,466,371.25 and 5,380,940.25

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Solution

The third proportional to 2,466,371.25 and 5,380,940.25 is: 11,739,724.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466,371.25 : 5,380,940.25 = 5,380,940.25 : x
  2. Step 2: Convert to fraction form
    2,466,371.25/5,380,940.25 = 5,380,940.25/x
  3. Step 3: Cross multiply
    2,466,371.25x = 5,380,940.25 × 5,380,940.25
  4. Step 4: Simplify right side
    2,466,371.25x = 28,954,517,974,070.06
  5. Step 5: Solve for x
    x = 28,954,517,974,070.06/2,466,371.25
  6. Step 6: Final answer
    x = 11,739,724.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.