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Finding the Third Proportional to 25,532,751.75 and 54,785,072.25

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Solution

The third proportional to 25,532,751.75 and 54,785,072.25 is: 117,551,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,532,751.75 : 54,785,072.25 = 54,785,072.25 : x
  2. Step 2: Convert to fraction form
    25,532,751.75/54,785,072.25 = 54,785,072.25/x
  3. Step 3: Cross multiply
    25,532,751.75x = 54,785,072.25 × 54,785,072.25
  4. Step 4: Simplify right side
    25,532,751.75x = 3,001,404,141,437,720
  5. Step 5: Solve for x
    x = 3,001,404,141,437,720/25,532,751.75
  6. Step 6: Final answer
    x = 117,551,142.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.