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Finding the Third Proportional to 36,400,322 and 54,831,171

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Solution

The third proportional to 36,400,322 and 54,831,171 is: 82,594,250.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,400,322 : 54,831,171 = 54,831,171 : x
  2. Step 2: Convert to fraction form
    36,400,322/54,831,171 = 54,831,171/x
  3. Step 3: Cross multiply
    36,400,322x = 54,831,171 × 54,831,171
  4. Step 4: Simplify right side
    36,400,322x = 3,006,457,313,231,241
  5. Step 5: Solve for x
    x = 3,006,457,313,231,241/36,400,322
  6. Step 6: Final answer
    x = 82,594,250.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.