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Finding the Third Proportional to 9,413,736 and 20,320,464

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Solution

The third proportional to 9,413,736 and 20,320,464 is: 43,863,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413,736 : 20,320,464 = 20,320,464 : x
  2. Step 2: Convert to fraction form
    9,413,736/20,320,464 = 20,320,464/x
  3. Step 3: Cross multiply
    9,413,736x = 20,320,464 × 20,320,464
  4. Step 4: Simplify right side
    9,413,736x = 412,921,257,175,296
  5. Step 5: Solve for x
    x = 412,921,257,175,296/9,413,736
  6. Step 6: Final answer
    x = 43,863,696.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.