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Finding the Third Proportional to 26,491,089,742 and 40,718,704,198

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Solution

The third proportional to 26,491,089,742 and 40,718,704,198 is: 62,587,567,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,491,089,742 : 40,718,704,198 = 40,718,704,198 : x
  2. Step 2: Convert to fraction form
    26,491,089,742/40,718,704,198 = 40,718,704,198/x
  3. Step 3: Cross multiply
    26,491,089,742x = 40,718,704,198 × 40,718,704,198
  4. Step 4: Simplify right side
    26,491,089,742x = 1,658,012,871,564,222,791,680
  5. Step 5: Solve for x
    x = 1,658,012,871,564,222,791,680/26,491,089,742
  6. Step 6: Final answer
    x = 62,587,567,658.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.