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Finding the Third Proportional to 20,454,513,786 and 47,790,973,703.25

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Solution

The third proportional to 20,454,513,786 and 47,790,973,703.25 is: 111,661,278,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454,513,786 : 47,790,973,703.25 = 47,790,973,703.25 : x
  2. Step 2: Convert to fraction form
    20,454,513,786/47,790,973,703.25 = 47,790,973,703.25/x
  3. Step 3: Cross multiply
    20,454,513,786x = 47,790,973,703.25 × 47,790,973,703.25
  4. Step 4: Simplify right side
    20,454,513,786x = 2,283,977,167,504,733,110,272
  5. Step 5: Solve for x
    x = 2,283,977,167,504,733,110,272/20,454,513,786
  6. Step 6: Final answer
    x = 111,661,278,845.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.