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Finding the Third Proportional to 8,179,466 and 17,722,097

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Solution

The third proportional to 8,179,466 and 17,722,097 is: 38,397,704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179,466 : 17,722,097 = 17,722,097 : x
  2. Step 2: Convert to fraction form
    8,179,466/17,722,097 = 17,722,097/x
  3. Step 3: Cross multiply
    8,179,466x = 17,722,097 × 17,722,097
  4. Step 4: Simplify right side
    8,179,466x = 314,072,722,077,409
  5. Step 5: Solve for x
    x = 314,072,722,077,409/8,179,466
  6. Step 6: Final answer
    x = 38,397,704.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.