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Finding the Third Proportional to 8,085,441 and 12,115,704

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Solution

The third proportional to 8,085,441 and 12,115,704 is: 18,154,888.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085,441 : 12,115,704 = 12,115,704 : x
  2. Step 2: Convert to fraction form
    8,085,441/12,115,704 = 12,115,704/x
  3. Step 3: Cross multiply
    8,085,441x = 12,115,704 × 12,115,704
  4. Step 4: Simplify right side
    8,085,441x = 146,790,283,415,616
  5. Step 5: Solve for x
    x = 146,790,283,415,616/8,085,441
  6. Step 6: Final answer
    x = 18,154,888.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.