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Finding the Third Proportional to 8,384,306 and 17,963,956

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Solution

The third proportional to 8,384,306 and 17,963,956 is: 38,489,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384,306 : 17,963,956 = 17,963,956 : x
  2. Step 2: Convert to fraction form
    8,384,306/17,963,956 = 17,963,956/x
  3. Step 3: Cross multiply
    8,384,306x = 17,963,956 × 17,963,956
  4. Step 4: Simplify right side
    8,384,306x = 322,703,715,169,936
  5. Step 5: Solve for x
    x = 322,703,715,169,936/8,384,306
  6. Step 6: Final answer
    x = 38,489,019.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.