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Finding the Third Proportional to 18,399,434,029 and 40,022,638,735

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Solution

The third proportional to 18,399,434,029 and 40,022,638,735 is: 87,057,656,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,399,434,029 : 40,022,638,735 = 40,022,638,735 : x
  2. Step 2: Convert to fraction form
    18,399,434,029/40,022,638,735 = 40,022,638,735/x
  3. Step 3: Cross multiply
    18,399,434,029x = 40,022,638,735 × 40,022,638,735
  4. Step 4: Simplify right side
    18,399,434,029x = 1,601,811,611,312,322,510,848
  5. Step 5: Solve for x
    x = 1,601,811,611,312,322,510,848/18,399,434,029
  6. Step 6: Final answer
    x = 87,057,656,707.68

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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.