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Finding the Third Proportional to 20,911,795,375,392 and 44,761,200,953,724

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Solution

The third proportional to 20,911,795,375,392 and 44,761,200,953,724 is: 95,810,286,723,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,911,795,375,392 : 44,761,200,953,724 = 44,761,200,953,724 : x
  2. Step 2: Convert to fraction form
    20,911,795,375,392/44,761,200,953,724 = 44,761,200,953,724/x
  3. Step 3: Cross multiply
    20,911,795,375,392x = 44,761,200,953,724 × 44,761,200,953,724
  4. Step 4: Simplify right side
    20,911,795,375,392x = 2,003,565,110,819,662,377,940,680,704
  5. Step 5: Solve for x
    x = 2,003,565,110,819,662,377,940,680,704/20,911,795,375,392
  6. Step 6: Final answer
    x = 95,810,286,723,509.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.