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Finding the Third Proportional to 67,304,747 and 146,401,980

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Solution

The third proportional to 67,304,747 and 146,401,980 is: 318,455,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,304,747 : 146,401,980 = 146,401,980 : x
  2. Step 2: Convert to fraction form
    67,304,747/146,401,980 = 146,401,980/x
  3. Step 3: Cross multiply
    67,304,747x = 146,401,980 × 146,401,980
  4. Step 4: Simplify right side
    67,304,747x = 21,433,539,747,920,400
  5. Step 5: Solve for x
    x = 21,433,539,747,920,400/67,304,747
  6. Step 6: Final answer
    x = 318,455,097.20

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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.