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Finding the Third Proportional to 4,195,091.25 and 9,137,468.25

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Solution

The third proportional to 4,195,091.25 and 9,137,468.25 is: 19,902,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195,091.25 : 9,137,468.25 = 9,137,468.25 : x
  2. Step 2: Convert to fraction form
    4,195,091.25/9,137,468.25 = 9,137,468.25/x
  3. Step 3: Cross multiply
    4,195,091.25x = 9,137,468.25 × 9,137,468.25
  4. Step 4: Simplify right side
    4,195,091.25x = 83,493,326,019,758.06
  5. Step 5: Solve for x
    x = 83,493,326,019,758.06/4,195,091.25
  6. Step 6: Final answer
    x = 19,902,624.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.