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Finding the Third Proportional to 327,401,074 and 697,662,042

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Solution

The third proportional to 327,401,074 and 697,662,042 is: 1,486,654,637.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,401,074 : 697,662,042 = 697,662,042 : x
  2. Step 2: Convert to fraction form
    327,401,074/697,662,042 = 697,662,042/x
  3. Step 3: Cross multiply
    327,401,074x = 697,662,042 × 697,662,042
  4. Step 4: Simplify right side
    327,401,074x = 486,732,324,847,609,792
  5. Step 5: Solve for x
    x = 486,732,324,847,609,792/327,401,074
  6. Step 6: Final answer
    x = 1,486,654,637.08

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.