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Finding the Third Proportional to 80,360,518 and 174,420,422

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Solution

The third proportional to 80,360,518 and 174,420,422 is: 378,575,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,360,518 : 174,420,422 = 174,420,422 : x
  2. Step 2: Convert to fraction form
    80,360,518/174,420,422 = 174,420,422/x
  3. Step 3: Cross multiply
    80,360,518x = 174,420,422 × 174,420,422
  4. Step 4: Simplify right side
    80,360,518x = 30,422,483,610,658,084
  5. Step 5: Solve for x
    x = 30,422,483,610,658,084/80,360,518
  6. Step 6: Final answer
    x = 378,575,006.33

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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.