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Finding the Third Proportional to 19,071,216 and 41,770,233

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Solution

The third proportional to 19,071,216 and 41,770,233 is: 91,486,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,071,216 : 41,770,233 = 41,770,233 : x
  2. Step 2: Convert to fraction form
    19,071,216/41,770,233 = 41,770,233/x
  3. Step 3: Cross multiply
    19,071,216x = 41,770,233 × 41,770,233
  4. Step 4: Simplify right side
    19,071,216x = 1,744,752,364,874,289
  5. Step 5: Solve for x
    x = 1,744,752,364,874,289/19,071,216
  6. Step 6: Final answer
    x = 91,486,162.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.