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Finding the Third Proportional to 69,212,010 and 149,367,012

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Solution

The third proportional to 69,212,010 and 149,367,012 is: 322,350,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,212,010 : 149,367,012 = 149,367,012 : x
  2. Step 2: Convert to fraction form
    69,212,010/149,367,012 = 149,367,012/x
  3. Step 3: Cross multiply
    69,212,010x = 149,367,012 × 149,367,012
  4. Step 4: Simplify right side
    69,212,010x = 22,310,504,273,808,144
  5. Step 5: Solve for x
    x = 22,310,504,273,808,144/69,212,010
  6. Step 6: Final answer
    x = 322,350,185.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.