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Finding the Third Proportional to 327,401,070.75 and 697,662,033.75

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Solution

The third proportional to 327,401,070.75 and 697,662,033.75 is: 1,486,654,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,401,070.75 : 697,662,033.75 = 697,662,033.75 : x
  2. Step 2: Convert to fraction form
    327,401,070.75/697,662,033.75 = 697,662,033.75/x
  3. Step 3: Cross multiply
    327,401,070.75x = 697,662,033.75 × 697,662,033.75
  4. Step 4: Simplify right side
    327,401,070.75x = 486,732,313,336,186,112
  5. Step 5: Solve for x
    x = 486,732,313,336,186,112/327,401,070.75
  6. Step 6: Final answer
    x = 1,486,654,616.68

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Why These Related Problems?

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