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Finding the Third Proportional to 67,304,741 and 146,401,968

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Solution

The third proportional to 67,304,741 and 146,401,968 is: 318,455,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,304,741 : 146,401,968 = 146,401,968 : x
  2. Step 2: Convert to fraction form
    67,304,741/146,401,968 = 146,401,968/x
  3. Step 3: Cross multiply
    67,304,741x = 146,401,968 × 146,401,968
  4. Step 4: Simplify right side
    67,304,741x = 21,433,536,234,273,024
  5. Step 5: Solve for x
    x = 21,433,536,234,273,024/67,304,741
  6. Step 6: Final answer
    x = 318,455,073.38

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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.