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Finding the Third Proportional to 35,850,500 and 78,667,144

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Solution

The third proportional to 35,850,500 and 78,667,144 is: 172,620,173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,850,500 : 78,667,144 = 78,667,144 : x
  2. Step 2: Convert to fraction form
    35,850,500/78,667,144 = 78,667,144/x
  3. Step 3: Cross multiply
    35,850,500x = 78,667,144 × 78,667,144
  4. Step 4: Simplify right side
    35,850,500x = 6,188,519,545,116,736
  5. Step 5: Solve for x
    x = 6,188,519,545,116,736/35,850,500
  6. Step 6: Final answer
    x = 172,620,173.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.