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Finding the Third Proportional to 20,129,960,026.50 and 30,020,375,319.75

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Solution

The third proportional to 20,129,960,026.50 and 30,020,375,319.75 is: 44,770,229,704.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129,960,026.50 : 30,020,375,319.75 = 30,020,375,319.75 : x
  2. Step 2: Convert to fraction form
    20,129,960,026.50/30,020,375,319.75 = 30,020,375,319.75/x
  3. Step 3: Cross multiply
    20,129,960,026.50x = 30,020,375,319.75 × 30,020,375,319.75
  4. Step 4: Simplify right side
    20,129,960,026.50x = 901,222,934,338,654,961,664
  5. Step 5: Solve for x
    x = 901,222,934,338,654,961,664/20,129,960,026.50
  6. Step 6: Final answer
    x = 44,770,229,704.99

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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.