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Finding the Third Proportional to 8,384,304 and 17,963,952

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Solution

The third proportional to 8,384,304 and 17,963,952 is: 38,489,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384,304 : 17,963,952 = 17,963,952 : x
  2. Step 2: Convert to fraction form
    8,384,304/17,963,952 = 17,963,952/x
  3. Step 3: Cross multiply
    8,384,304x = 17,963,952 × 17,963,952
  4. Step 4: Simplify right side
    8,384,304x = 322,703,571,458,304
  5. Step 5: Solve for x
    x = 322,703,571,458,304/8,384,304
  6. Step 6: Final answer
    x = 38,489,011.31

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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.