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Finding the Third Proportional to 26,353,157,729 and 40,147,212,909

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Solution

The third proportional to 26,353,157,729 and 40,147,212,909 is: 61,161,501,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,353,157,729 : 40,147,212,909 = 40,147,212,909 : x
  2. Step 2: Convert to fraction form
    26,353,157,729/40,147,212,909 = 40,147,212,909/x
  3. Step 3: Cross multiply
    26,353,157,729x = 40,147,212,909 × 40,147,212,909
  4. Step 4: Simplify right side
    26,353,157,729x = 1,611,798,704,360,576,253,952
  5. Step 5: Solve for x
    x = 1,611,798,704,360,576,253,952/26,353,157,729
  6. Step 6: Final answer
    x = 61,161,501,818.32

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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.