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Finding the Third Proportional to 306,034,467 and 664,027,671

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Solution

The third proportional to 306,034,467 and 664,027,671 is: 1,440,794,405.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,034,467 : 664,027,671 = 664,027,671 : x
  2. Step 2: Convert to fraction form
    306,034,467/664,027,671 = 664,027,671/x
  3. Step 3: Cross multiply
    306,034,467x = 664,027,671 × 664,027,671
  4. Step 4: Simplify right side
    306,034,467x = 440,932,747,853,684,224
  5. Step 5: Solve for x
    x = 440,932,747,853,684,224/306,034,467
  6. Step 6: Final answer
    x = 1,440,794,405.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.