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Finding the Third Proportional to 2,383,672.64 and 5,212,969.31

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Solution

The third proportional to 2,383,672.64 and 5,212,969.31 is: 11,400,495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383,672.64 : 5,212,969.31 = 5,212,969.31 : x
  2. Step 2: Convert to fraction form
    2,383,672.64/5,212,969.31 = 5,212,969.31/x
  3. Step 3: Cross multiply
    2,383,672.64x = 5,212,969.31 × 5,212,969.31
  4. Step 4: Simplify right side
    2,383,672.64x = 27,175,049,053,066.72
  5. Step 5: Solve for x
    x = 27,175,049,053,066.72/2,383,672.64
  6. Step 6: Final answer
    x = 11,400,495.43

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