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Finding the Third Proportional to 36,744,400 and 85,824,216

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Solution

The third proportional to 36,744,400 and 85,824,216 is: 200,460,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,744,400 : 85,824,216 = 85,824,216 : x
  2. Step 2: Convert to fraction form
    36,744,400/85,824,216 = 85,824,216/x
  3. Step 3: Cross multiply
    36,744,400x = 85,824,216 × 85,824,216
  4. Step 4: Simplify right side
    36,744,400x = 7,365,796,052,014,656
  5. Step 5: Solve for x
    x = 7,365,796,052,014,656/36,744,400
  6. Step 6: Final answer
    x = 200,460,370.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.