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Finding the Third Proportional to 123,334,441 and 274,244,512

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Solution

The third proportional to 123,334,441 and 274,244,512 is: 609,805,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,334,441 : 274,244,512 = 274,244,512 : x
  2. Step 2: Convert to fraction form
    123,334,441/274,244,512 = 274,244,512/x
  3. Step 3: Cross multiply
    123,334,441x = 274,244,512 × 274,244,512
  4. Step 4: Simplify right side
    123,334,441x = 75,210,052,362,118,144
  5. Step 5: Solve for x
    x = 75,210,052,362,118,144/123,334,441
  6. Step 6: Final answer
    x = 609,805,758.65

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