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Finding the Third Proportional to 3,825,336 and 8,082,441

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Solution

The third proportional to 3,825,336 and 8,082,441 is: 17,077,154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825,336 : 8,082,441 = 8,082,441 : x
  2. Step 2: Convert to fraction form
    3,825,336/8,082,441 = 8,082,441/x
  3. Step 3: Cross multiply
    3,825,336x = 8,082,441 × 8,082,441
  4. Step 4: Simplify right side
    3,825,336x = 65,325,852,518,481
  5. Step 5: Solve for x
    x = 65,325,852,518,481/3,825,336
  6. Step 6: Final answer
    x = 17,077,154.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.