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Finding the Third Proportional to 454,619,357 and 981,987,082

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Solution

The third proportional to 454,619,357 and 981,987,082 is: 2,121,112,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,619,357 : 981,987,082 = 981,987,082 : x
  2. Step 2: Convert to fraction form
    454,619,357/981,987,082 = 981,987,082/x
  3. Step 3: Cross multiply
    454,619,357x = 981,987,082 × 981,987,082
  4. Step 4: Simplify right side
    454,619,357x = 964,298,629,214,874,752
  5. Step 5: Solve for x
    x = 964,298,629,214,874,752/454,619,357
  6. Step 6: Final answer
    x = 2,121,112,122.41

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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.