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Finding the Third Proportional to 21,522,743,102 and 30,295,557,770.50

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Solution

The third proportional to 21,522,743,102 and 30,295,557,770.50 is: 42,644,230,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,522,743,102 : 30,295,557,770.50 = 30,295,557,770.50 : x
  2. Step 2: Convert to fraction form
    21,522,743,102/30,295,557,770.50 = 30,295,557,770.50/x
  3. Step 3: Cross multiply
    21,522,743,102x = 30,295,557,770.50 × 30,295,557,770.50
  4. Step 4: Simplify right side
    21,522,743,102x = 917,820,820,625,702,912,000
  5. Step 5: Solve for x
    x = 917,820,820,625,702,912,000/21,522,743,102
  6. Step 6: Final answer
    x = 42,644,230,629.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.