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Finding the Third Proportional to 5,711,138 and 12,464,067

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Solution

The third proportional to 5,711,138 and 12,464,067 is: 27,201,753.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711,138 : 12,464,067 = 12,464,067 : x
  2. Step 2: Convert to fraction form
    5,711,138/12,464,067 = 12,464,067/x
  3. Step 3: Cross multiply
    5,711,138x = 12,464,067 × 12,464,067
  4. Step 4: Simplify right side
    5,711,138x = 155,352,966,180,489
  5. Step 5: Solve for x
    x = 155,352,966,180,489/5,711,138
  6. Step 6: Final answer
    x = 27,201,753.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.