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Finding the Third Proportional to 8,148,086 and 16,965,576

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Solution

The third proportional to 8,148,086 and 16,965,576 is: 35,324,954.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148,086 : 16,965,576 = 16,965,576 : x
  2. Step 2: Convert to fraction form
    8,148,086/16,965,576 = 16,965,576/x
  3. Step 3: Cross multiply
    8,148,086x = 16,965,576 × 16,965,576
  4. Step 4: Simplify right side
    8,148,086x = 287,830,769,011,776
  5. Step 5: Solve for x
    x = 287,830,769,011,776/8,148,086
  6. Step 6: Final answer
    x = 35,324,954.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.