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Finding the Third Proportional to 36,406,586 and 78,216,016

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Solution

The third proportional to 36,406,586 and 78,216,016 is: 168,039,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,406,586 : 78,216,016 = 78,216,016 : x
  2. Step 2: Convert to fraction form
    36,406,586/78,216,016 = 78,216,016/x
  3. Step 3: Cross multiply
    36,406,586x = 78,216,016 × 78,216,016
  4. Step 4: Simplify right side
    36,406,586x = 6,117,745,158,912,256
  5. Step 5: Solve for x
    x = 6,117,745,158,912,256/36,406,586
  6. Step 6: Final answer
    x = 168,039,517.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.