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Finding the Third Proportional to 2,253,576.94 and 5,314,513.78

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Solution

The third proportional to 2,253,576.94 and 5,314,513.78 is: 12,532,989.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253,576.94 : 5,314,513.78 = 5,314,513.78 : x
  2. Step 2: Convert to fraction form
    2,253,576.94/5,314,513.78 = 5,314,513.78/x
  3. Step 3: Cross multiply
    2,253,576.94x = 5,314,513.78 × 5,314,513.78
  4. Step 4: Simplify right side
    2,253,576.94x = 28,244,056,731,096.17
  5. Step 5: Solve for x
    x = 28,244,056,731,096.17/2,253,576.94
  6. Step 6: Final answer
    x = 12,532,989.78

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.