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Finding the Third Proportional to 4,162,158 and 9,078,691.50

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Solution

The third proportional to 4,162,158 and 9,078,691.50 is: 19,802,861.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162,158 : 9,078,691.50 = 9,078,691.50 : x
  2. Step 2: Convert to fraction form
    4,162,158/9,078,691.50 = 9,078,691.50/x
  3. Step 3: Cross multiply
    4,162,158x = 9,078,691.50 × 9,078,691.50
  4. Step 4: Simplify right side
    4,162,158x = 82,422,639,352,172.25
  5. Step 5: Solve for x
    x = 82,422,639,352,172.25/4,162,158
  6. Step 6: Final answer
    x = 19,802,861.73

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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.