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Finding the Third Proportional to 26,353,157,731 and 40,147,212,912

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Solution

The third proportional to 26,353,157,731 and 40,147,212,912 is: 61,161,501,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,353,157,731 : 40,147,212,912 = 40,147,212,912 : x
  2. Step 2: Convert to fraction form
    26,353,157,731/40,147,212,912 = 40,147,212,912/x
  3. Step 3: Cross multiply
    26,353,157,731x = 40,147,212,912 × 40,147,212,912
  4. Step 4: Simplify right side
    26,353,157,731x = 1,611,798,704,601,459,589,120
  5. Step 5: Solve for x
    x = 1,611,798,704,601,459,589,120/26,353,157,731
  6. Step 6: Final answer
    x = 61,161,501,822.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.