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Finding the Third Proportional to 382,016,048 and 825,028,768

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Solution

The third proportional to 382,016,048 and 825,028,768 is: 1,781,790,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,016,048 : 825,028,768 = 825,028,768 : x
  2. Step 2: Convert to fraction form
    382,016,048/825,028,768 = 825,028,768/x
  3. Step 3: Cross multiply
    382,016,048x = 825,028,768 × 825,028,768
  4. Step 4: Simplify right side
    382,016,048x = 680,672,468,027,597,824
  5. Step 5: Solve for x
    x = 680,672,468,027,597,824/382,016,048
  6. Step 6: Final answer
    x = 1,781,790,245.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.