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Finding the Third Proportional to 39,855,980 and 85,824,652

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Solution

The third proportional to 39,855,980 and 85,824,652 is: 184,812,188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,855,980 : 85,824,652 = 85,824,652 : x
  2. Step 2: Convert to fraction form
    39,855,980/85,824,652 = 85,824,652/x
  3. Step 3: Cross multiply
    39,855,980x = 85,824,652 × 85,824,652
  4. Step 4: Simplify right side
    39,855,980x = 7,365,870,890,921,104
  5. Step 5: Solve for x
    x = 7,365,870,890,921,104/39,855,980
  6. Step 6: Final answer
    x = 184,812,188.56

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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.