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Finding the Third Proportional to 20,129,960,025 and 30,020,375,317.50

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Solution

The third proportional to 20,129,960,025 and 30,020,375,317.50 is: 44,770,229,701.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129,960,025 : 30,020,375,317.50 = 30,020,375,317.50 : x
  2. Step 2: Convert to fraction form
    20,129,960,025/30,020,375,317.50 = 30,020,375,317.50/x
  3. Step 3: Cross multiply
    20,129,960,025x = 30,020,375,317.50 × 30,020,375,317.50
  4. Step 4: Simplify right side
    20,129,960,025x = 901,222,934,203,563,245,568
  5. Step 5: Solve for x
    x = 901,222,934,203,563,245,568/20,129,960,025
  6. Step 6: Final answer
    x = 44,770,229,701.61

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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.