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Finding the Third Proportional to 67,304,738 and 146,401,963

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Solution

The third proportional to 67,304,738 and 146,401,963 is: 318,455,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,304,738 : 146,401,963 = 146,401,963 : x
  2. Step 2: Convert to fraction form
    67,304,738/146,401,963 = 146,401,963/x
  3. Step 3: Cross multiply
    67,304,738x = 146,401,963 × 146,401,963
  4. Step 4: Simplify right side
    67,304,738x = 21,433,534,770,253,368
  5. Step 5: Solve for x
    x = 21,433,534,770,253,368/67,304,738
  6. Step 6: Final answer
    x = 318,455,065.83

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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.