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Finding the Third Proportional to 36,381,722 and 78,268,852

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Solution

The third proportional to 36,381,722 and 78,268,852 is: 168,381,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,381,722 : 78,268,852 = 78,268,852 : x
  2. Step 2: Convert to fraction form
    36,381,722/78,268,852 = 78,268,852/x
  3. Step 3: Cross multiply
    36,381,722x = 78,268,852 × 78,268,852
  4. Step 4: Simplify right side
    36,381,722x = 6,126,013,193,397,904
  5. Step 5: Solve for x
    x = 6,126,013,193,397,904/36,381,722
  6. Step 6: Final answer
    x = 168,381,617.38

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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.