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Finding the Third Proportional to 8,471,012 and 12,725,837

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Solution

The third proportional to 8,471,012 and 12,725,837 is: 19,117,778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471,012 : 12,725,837 = 12,725,837 : x
  2. Step 2: Convert to fraction form
    8,471,012/12,725,837 = 12,725,837/x
  3. Step 3: Cross multiply
    8,471,012x = 12,725,837 × 12,725,837
  4. Step 4: Simplify right side
    8,471,012x = 161,946,927,350,569
  5. Step 5: Solve for x
    x = 161,946,927,350,569/8,471,012
  6. Step 6: Final answer
    x = 19,117,778.06

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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.