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Finding the Third Proportional to 22,074,624,606 and 48,422,944,104

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Solution

The third proportional to 22,074,624,606 and 48,422,944,104 is: 106,220,674,532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,074,624,606 : 48,422,944,104 = 48,422,944,104 : x
  2. Step 2: Convert to fraction form
    22,074,624,606/48,422,944,104 = 48,422,944,104/x
  3. Step 3: Cross multiply
    22,074,624,606x = 48,422,944,104 × 48,422,944,104
  4. Step 4: Simplify right side
    22,074,624,606x = 2,344,781,515,699,108,446,208
  5. Step 5: Solve for x
    x = 2,344,781,515,699,108,446,208/22,074,624,606
  6. Step 6: Final answer
    x = 106,220,674,532.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.