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Finding the Third Proportional to 11,754,495.75 and 27,657,615

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Solution

The third proportional to 11,754,495.75 and 27,657,615 is: 65,076,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754,495.75 : 27,657,615 = 27,657,615 : x
  2. Step 2: Convert to fraction form
    11,754,495.75/27,657,615 = 27,657,615/x
  3. Step 3: Cross multiply
    11,754,495.75x = 27,657,615 × 27,657,615
  4. Step 4: Simplify right side
    11,754,495.75x = 764,943,667,488,225
  5. Step 5: Solve for x
    x = 764,943,667,488,225/11,754,495.75
  6. Step 6: Final answer
    x = 65,076,689.27

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Why These Related Problems?

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