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Finding the Third Proportional to 493,221,815 and 1,073,270,812

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Solution

The third proportional to 493,221,815 and 1,073,270,812 is: 2,335,481,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,221,815 : 1,073,270,812 = 1,073,270,812 : x
  2. Step 2: Convert to fraction form
    493,221,815/1,073,270,812 = 1,073,270,812/x
  3. Step 3: Cross multiply
    493,221,815x = 1,073,270,812 × 1,073,270,812
  4. Step 4: Simplify right side
    493,221,815x = 1,151,910,235,891,139,328
  5. Step 5: Solve for x
    x = 1,151,910,235,891,139,328/493,221,815
  6. Step 6: Final answer
    x = 2,335,481,117.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.