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Finding the Third Proportional to 20,454,879,652,095 and 44,510,643,025,014

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Solution

The third proportional to 20,454,879,652,095 and 44,510,643,025,014 is: 96,856,954,242,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454,879,652,095 : 44,510,643,025,014 = 44,510,643,025,014 : x
  2. Step 2: Convert to fraction form
    20,454,879,652,095/44,510,643,025,014 = 44,510,643,025,014/x
  3. Step 3: Cross multiply
    20,454,879,652,095x = 44,510,643,025,014 × 44,510,643,025,014
  4. Step 4: Simplify right side
    20,454,879,652,095x = 1,981,197,342,500,227,364,270,637,056
  5. Step 5: Solve for x
    x = 1,981,197,342,500,227,364,270,637,056/20,454,879,652,095
  6. Step 6: Final answer
    x = 96,856,954,242,569.31

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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.