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Finding the Third Proportional to 20,238,352,754 and 30,238,486,104

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Solution

The third proportional to 20,238,352,754 and 30,238,486,104 is: 45,179,864,832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,238,352,754 : 30,238,486,104 = 30,238,486,104 : x
  2. Step 2: Convert to fraction form
    20,238,352,754/30,238,486,104 = 30,238,486,104/x
  3. Step 3: Cross multiply
    20,238,352,754x = 30,238,486,104 × 30,238,486,104
  4. Step 4: Simplify right side
    20,238,352,754x = 914,366,041,861,801,115,648
  5. Step 5: Solve for x
    x = 914,366,041,861,801,115,648/20,238,352,754
  6. Step 6: Final answer
    x = 45,179,864,832.68

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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.