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Finding the Third Proportional to 8,660,170 and 13,194,527

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Solution

The third proportional to 8,660,170 and 13,194,527 is: 20,103,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,660,170 : 13,194,527 = 13,194,527 : x
  2. Step 2: Convert to fraction form
    8,660,170/13,194,527 = 13,194,527/x
  3. Step 3: Cross multiply
    8,660,170x = 13,194,527 × 13,194,527
  4. Step 4: Simplify right side
    8,660,170x = 174,095,542,753,729
  5. Step 5: Solve for x
    x = 174,095,542,753,729/8,660,170
  6. Step 6: Final answer
    x = 20,103,016.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.