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Finding the Third Proportional to 10,382,016 and 22,361,497

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Solution

The third proportional to 10,382,016 and 22,361,497 is: 48,163,723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382,016 : 22,361,497 = 22,361,497 : x
  2. Step 2: Convert to fraction form
    10,382,016/22,361,497 = 22,361,497/x
  3. Step 3: Cross multiply
    10,382,016x = 22,361,497 × 22,361,497
  4. Step 4: Simplify right side
    10,382,016x = 500,036,548,081,009
  5. Step 5: Solve for x
    x = 500,036,548,081,009/10,382,016
  6. Step 6: Final answer
    x = 48,163,723.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.