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Finding the Third Proportional to 625,332,866 and 833,682,195

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Solution

The third proportional to 625,332,866 and 833,682,195 is: 1,111,449,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,332,866 : 833,682,195 = 833,682,195 : x
  2. Step 2: Convert to fraction form
    625,332,866/833,682,195 = 833,682,195/x
  3. Step 3: Cross multiply
    625,332,866x = 833,682,195 × 833,682,195
  4. Step 4: Simplify right side
    625,332,866x = 695,026,002,260,018,048
  5. Step 5: Solve for x
    x = 695,026,002,260,018,048/625,332,866
  6. Step 6: Final answer
    x = 1,111,449,661.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.