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Finding the Third Proportional to 81,113,600 and 180,362,512

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Solution

The third proportional to 81,113,600 and 180,362,512 is: 401,050,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,113,600 : 180,362,512 = 180,362,512 : x
  2. Step 2: Convert to fraction form
    81,113,600/180,362,512 = 180,362,512/x
  3. Step 3: Cross multiply
    81,113,600x = 180,362,512 × 180,362,512
  4. Step 4: Simplify right side
    81,113,600x = 32,530,635,734,950,144
  5. Step 5: Solve for x
    x = 32,530,635,734,950,144/81,113,600
  6. Step 6: Final answer
    x = 401,050,326.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.