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Finding the Third Proportional to 349,847,067 and 809,917,416

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Solution

The third proportional to 349,847,067 and 809,917,416 is: 1,875,008,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,847,067 : 809,917,416 = 809,917,416 : x
  2. Step 2: Convert to fraction form
    349,847,067/809,917,416 = 809,917,416/x
  3. Step 3: Cross multiply
    349,847,067x = 809,917,416 × 809,917,416
  4. Step 4: Simplify right side
    349,847,067x = 655,966,220,740,116,992
  5. Step 5: Solve for x
    x = 655,966,220,740,116,992/349,847,067
  6. Step 6: Final answer
    x = 1,875,008,489.75

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.