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Finding the Third Proportional to 36,414,311 and 78,022,621

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Solution

The third proportional to 36,414,311 and 78,022,621 is: 167,174,092.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414,311 : 78,022,621 = 78,022,621 : x
  2. Step 2: Convert to fraction form
    36,414,311/78,022,621 = 78,022,621/x
  3. Step 3: Cross multiply
    36,414,311x = 78,022,621 × 78,022,621
  4. Step 4: Simplify right side
    36,414,311x = 6,087,529,387,709,641
  5. Step 5: Solve for x
    x = 6,087,529,387,709,641/36,414,311
  6. Step 6: Final answer
    x = 167,174,092.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.