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Finding the Third Proportional to 22,350,305,600 and 48,668,704,016

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Solution

The third proportional to 22,350,305,600 and 48,668,704,016 is: 105,978,092,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,350,305,600 : 48,668,704,016 = 48,668,704,016 : x
  2. Step 2: Convert to fraction form
    22,350,305,600/48,668,704,016 = 48,668,704,016/x
  3. Step 3: Cross multiply
    22,350,305,600x = 48,668,704,016 × 48,668,704,016
  4. Step 4: Simplify right side
    22,350,305,600x = 2,368,642,750,597,014,487,040
  5. Step 5: Solve for x
    x = 2,368,642,750,597,014,487,040/22,350,305,600
  6. Step 6: Final answer
    x = 105,978,092,335.21

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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.