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Finding the Third Proportional to 20,454,879,652,094 and 44,510,643,025,016

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Solution

The third proportional to 20,454,879,652,094 and 44,510,643,025,016 is: 96,856,954,242,582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454,879,652,094 : 44,510,643,025,016 = 44,510,643,025,016 : x
  2. Step 2: Convert to fraction form
    20,454,879,652,094/44,510,643,025,016 = 44,510,643,025,016/x
  3. Step 3: Cross multiply
    20,454,879,652,094x = 44,510,643,025,016 × 44,510,643,025,016
  4. Step 4: Simplify right side
    20,454,879,652,094x = 1,981,197,342,500,405,485,154,336,768
  5. Step 5: Solve for x
    x = 1,981,197,342,500,405,485,154,336,768/20,454,879,652,094
  6. Step 6: Final answer
    x = 96,856,954,242,582.75

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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.