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Finding the Third Proportional to 13,774,247,244 and 20,657,783,642

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Solution

The third proportional to 13,774,247,244 and 20,657,783,642 is: 30,981,295,561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774,247,244 : 20,657,783,642 = 20,657,783,642 : x
  2. Step 2: Convert to fraction form
    13,774,247,244/20,657,783,642 = 20,657,783,642/x
  3. Step 3: Cross multiply
    13,774,247,244x = 20,657,783,642 × 20,657,783,642
  4. Step 4: Simplify right side
    13,774,247,244x = 426,744,024,999,682,768,896
  5. Step 5: Solve for x
    x = 426,744,024,999,682,768,896/13,774,247,244
  6. Step 6: Final answer
    x = 30,981,295,561.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.