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Finding the Third Proportional to 20,129,960,109 and 30,020,375,524.50

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Solution

The third proportional to 20,129,960,109 and 30,020,375,524.50 is: 44,770,230,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129,960,109 : 30,020,375,524.50 = 30,020,375,524.50 : x
  2. Step 2: Convert to fraction form
    20,129,960,109/30,020,375,524.50 = 30,020,375,524.50/x
  3. Step 3: Cross multiply
    20,129,960,109x = 30,020,375,524.50 × 30,020,375,524.50
  4. Step 4: Simplify right side
    20,129,960,109x = 901,222,946,631,998,636,032
  5. Step 5: Solve for x
    x = 901,222,946,631,998,636,032/20,129,960,109
  6. Step 6: Final answer
    x = 44,770,230,132.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.