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Finding the Third Proportional to 67,296,966 and 146,403,732

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Solution

The third proportional to 67,296,966 and 146,403,732 is: 318,499,540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,296,966 : 146,403,732 = 146,403,732 : x
  2. Step 2: Convert to fraction form
    67,296,966/146,403,732 = 146,403,732/x
  3. Step 3: Cross multiply
    67,296,966x = 146,403,732 × 146,403,732
  4. Step 4: Simplify right side
    67,296,966x = 21,434,052,743,527,824
  5. Step 5: Solve for x
    x = 21,434,052,743,527,824/67,296,966
  6. Step 6: Final answer
    x = 318,499,540.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.