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Finding the Third Proportional to 36,161,723 and 85,348,692

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Solution

The third proportional to 36,161,723 and 85,348,692 is: 201,439,495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,161,723 : 85,348,692 = 85,348,692 : x
  2. Step 2: Convert to fraction form
    36,161,723/85,348,692 = 85,348,692/x
  3. Step 3: Cross multiply
    36,161,723x = 85,348,692 × 85,348,692
  4. Step 4: Simplify right side
    36,161,723x = 7,284,399,226,110,864
  5. Step 5: Solve for x
    x = 7,284,399,226,110,864/36,161,723
  6. Step 6: Final answer
    x = 201,439,495.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.