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Finding the Third Proportional to 11,744,283.75 and 17,967,439.50

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Solution

The third proportional to 11,744,283.75 and 17,967,439.50 is: 27,488,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744,283.75 : 17,967,439.50 = 17,967,439.50 : x
  2. Step 2: Convert to fraction form
    11,744,283.75/17,967,439.50 = 17,967,439.50/x
  3. Step 3: Cross multiply
    11,744,283.75x = 17,967,439.50 × 17,967,439.50
  4. Step 4: Simplify right side
    11,744,283.75x = 322,828,882,186,160.25
  5. Step 5: Solve for x
    x = 322,828,882,186,160.25/11,744,283.75
  6. Step 6: Final answer
    x = 27,488,171.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.