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Finding the Third Proportional to 9,414,232,512.50 and 20,483,253,702

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Solution

The third proportional to 9,414,232,512.50 and 20,483,253,702 is: 44,566,955,581.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414,232,512.50 : 20,483,253,702 = 20,483,253,702 : x
  2. Step 2: Convert to fraction form
    9,414,232,512.50/20,483,253,702 = 20,483,253,702/x
  3. Step 3: Cross multiply
    9,414,232,512.50x = 20,483,253,702 × 20,483,253,702
  4. Step 4: Simplify right side
    9,414,232,512.50x = 419,563,682,220,496,715,776
  5. Step 5: Solve for x
    x = 419,563,682,220,496,715,776/9,414,232,512.50
  6. Step 6: Final answer
    x = 44,566,955,581.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.