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Finding the Third Proportional to 9,386,981.25 and 19,493,383.50

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Solution

The third proportional to 9,386,981.25 and 19,493,383.50 is: 40,480,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386,981.25 : 19,493,383.50 = 19,493,383.50 : x
  2. Step 2: Convert to fraction form
    9,386,981.25/19,493,383.50 = 19,493,383.50/x
  3. Step 3: Cross multiply
    9,386,981.25x = 19,493,383.50 × 19,493,383.50
  4. Step 4: Simplify right side
    9,386,981.25x = 379,992,000,278,072.25
  5. Step 5: Solve for x
    x = 379,992,000,278,072.25/9,386,981.25
  6. Step 6: Final answer
    x = 40,480,745.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.