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Finding the Third Proportional to 8,597,576.25 and 13,805,538.75

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Solution

The third proportional to 8,597,576.25 and 13,805,538.75 is: 22,168,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597,576.25 : 13,805,538.75 = 13,805,538.75 : x
  2. Step 2: Convert to fraction form
    8,597,576.25/13,805,538.75 = 13,805,538.75/x
  3. Step 3: Cross multiply
    8,597,576.25x = 13,805,538.75 × 13,805,538.75
  4. Step 4: Simplify right side
    8,597,576.25x = 190,592,900,177,751.56
  5. Step 5: Solve for x
    x = 190,592,900,177,751.56/8,597,576.25
  6. Step 6: Final answer
    x = 22,168,212.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.