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Finding the Third Proportional to 20,488,107,615 and 45,687,095,241

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Solution

The third proportional to 20,488,107,615 and 45,687,095,241 is: 101,879,134,509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,488,107,615 : 45,687,095,241 = 45,687,095,241 : x
  2. Step 2: Convert to fraction form
    20,488,107,615/45,687,095,241 = 45,687,095,241/x
  3. Step 3: Cross multiply
    20,488,107,615x = 45,687,095,241 × 45,687,095,241
  4. Step 4: Simplify right side
    20,488,107,615x = 2,087,310,671,560,204,877,824
  5. Step 5: Solve for x
    x = 2,087,310,671,560,204,877,824/20,488,107,615
  6. Step 6: Final answer
    x = 101,879,134,509.82

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.