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Finding the Third Proportional to 80,485,449 and 174,581,678

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Solution

The third proportional to 80,485,449 and 174,581,678 is: 378,686,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,485,449 : 174,581,678 = 174,581,678 : x
  2. Step 2: Convert to fraction form
    80,485,449/174,581,678 = 174,581,678/x
  3. Step 3: Cross multiply
    80,485,449x = 174,581,678 × 174,581,678
  4. Step 4: Simplify right side
    80,485,449x = 30,478,762,293,295,684
  5. Step 5: Solve for x
    x = 30,478,762,293,295,684/80,485,449
  6. Step 6: Final answer
    x = 378,686,615.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.