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Finding the Third Proportional to 31,848,144 and 65,033,056

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Solution

The third proportional to 31,848,144 and 65,033,056 is: 132,795,756.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,848,144 : 65,033,056 = 65,033,056 : x
  2. Step 2: Convert to fraction form
    31,848,144/65,033,056 = 65,033,056/x
  3. Step 3: Cross multiply
    31,848,144x = 65,033,056 × 65,033,056
  4. Step 4: Simplify right side
    31,848,144x = 4,229,298,372,699,136
  5. Step 5: Solve for x
    x = 4,229,298,372,699,136/31,848,144
  6. Step 6: Final answer
    x = 132,795,756.41

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.