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Finding the Third Proportional to 454,458,516 and 981,558,228

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Solution

The third proportional to 454,458,516 and 981,558,228 is: 2,120,009,904.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,458,516 : 981,558,228 = 981,558,228 : x
  2. Step 2: Convert to fraction form
    454,458,516/981,558,228 = 981,558,228/x
  3. Step 3: Cross multiply
    454,458,516x = 981,558,228 × 981,558,228
  4. Step 4: Simplify right side
    454,458,516x = 963,456,554,954,499,968
  5. Step 5: Solve for x
    x = 963,456,554,954,499,968/454,458,516
  6. Step 6: Final answer
    x = 2,120,009,904.17

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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.