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Finding the Third Proportional to 22,116,749,187 and 48,741,596,145

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Solution

The third proportional to 22,116,749,187 and 48,741,596,145 is: 107,418,281,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,116,749,187 : 48,741,596,145 = 48,741,596,145 : x
  2. Step 2: Convert to fraction form
    22,116,749,187/48,741,596,145 = 48,741,596,145/x
  3. Step 3: Cross multiply
    22,116,749,187x = 48,741,596,145 × 48,741,596,145
  4. Step 4: Simplify right side
    22,116,749,187x = 2,375,743,194,762,278,600,704
  5. Step 5: Solve for x
    x = 2,375,743,194,762,278,600,704/22,116,749,187
  6. Step 6: Final answer
    x = 107,418,281,713.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.