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Finding the Third Proportional to 20,454,879,652,101 and 44,510,643,025,026

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Solution

The third proportional to 20,454,879,652,101 and 44,510,643,025,026 is: 96,856,954,242,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454,879,652,101 : 44,510,643,025,026 = 44,510,643,025,026 : x
  2. Step 2: Convert to fraction form
    20,454,879,652,101/44,510,643,025,026 = 44,510,643,025,026/x
  3. Step 3: Cross multiply
    20,454,879,652,101x = 44,510,643,025,026 × 44,510,643,025,026
  4. Step 4: Simplify right side
    20,454,879,652,101x = 1,981,197,342,501,295,814,694,928,384
  5. Step 5: Solve for x
    x = 1,981,197,342,501,295,814,694,928,384/20,454,879,652,101
  6. Step 6: Final answer
    x = 96,856,954,242,593.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.