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Finding the Third Proportional to 454,876,742 and 982,382,278

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Solution

The third proportional to 454,876,742 and 982,382,278 is: 2,121,618,563.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,876,742 : 982,382,278 = 982,382,278 : x
  2. Step 2: Convert to fraction form
    454,876,742/982,382,278 = 982,382,278/x
  3. Step 3: Cross multiply
    454,876,742x = 982,382,278 × 982,382,278
  4. Step 4: Simplify right side
    454,876,742x = 965,074,940,128,469,248
  5. Step 5: Solve for x
    x = 965,074,940,128,469,248/454,876,742
  6. Step 6: Final answer
    x = 2,121,618,563.93

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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.