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Finding the Third Proportional to 668,910,198 and 1,440,329,452

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Solution

The third proportional to 668,910,198 and 1,440,329,452 is: 3,101,386,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,910,198 : 1,440,329,452 = 1,440,329,452 : x
  2. Step 2: Convert to fraction form
    668,910,198/1,440,329,452 = 1,440,329,452/x
  3. Step 3: Cross multiply
    668,910,198x = 1,440,329,452 × 1,440,329,452
  4. Step 4: Simplify right side
    668,910,198x = 2,074,548,930,298,620,416
  5. Step 5: Solve for x
    x = 2,074,548,930,298,620,416/668,910,198
  6. Step 6: Final answer
    x = 3,101,386,309.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.