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Finding the Third Proportional to 9,306,198 and 19,685,483

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Solution

The third proportional to 9,306,198 and 19,685,483 is: 41,640,876.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306,198 : 19,685,483 = 19,685,483 : x
  2. Step 2: Convert to fraction form
    9,306,198/19,685,483 = 19,685,483/x
  3. Step 3: Cross multiply
    9,306,198x = 19,685,483 × 19,685,483
  4. Step 4: Simplify right side
    9,306,198x = 387,518,240,943,289
  5. Step 5: Solve for x
    x = 387,518,240,943,289/9,306,198
  6. Step 6: Final answer
    x = 41,640,876.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.