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Finding the Third Proportional to 454,458,510 and 981,558,216

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Solution

The third proportional to 454,458,510 and 981,558,216 is: 2,120,009,880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,458,510 : 981,558,216 = 981,558,216 : x
  2. Step 2: Convert to fraction form
    454,458,510/981,558,216 = 981,558,216/x
  3. Step 3: Cross multiply
    454,458,510x = 981,558,216 × 981,558,216
  4. Step 4: Simplify right side
    454,458,510x = 963,456,531,397,102,592
  5. Step 5: Solve for x
    x = 963,456,531,397,102,592/454,458,510
  6. Step 6: Final answer
    x = 2,120,009,880.32

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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.