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Finding the Third Proportional to 6,694,016 and 14,576,413

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Solution

The third proportional to 6,694,016 and 14,576,413 is: 31,740,559.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694,016 : 14,576,413 = 14,576,413 : x
  2. Step 2: Convert to fraction form
    6,694,016/14,576,413 = 14,576,413/x
  3. Step 3: Cross multiply
    6,694,016x = 14,576,413 × 14,576,413
  4. Step 4: Simplify right side
    6,694,016x = 212,471,815,946,569
  5. Step 5: Solve for x
    x = 212,471,815,946,569/6,694,016
  6. Step 6: Final answer
    x = 31,740,559.92

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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.