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Finding the Third Proportional to 8,494,903,096 and 11,811,483,743

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Solution

The third proportional to 8,494,903,096 and 11,811,483,743 is: 16,422,924,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494,903,096 : 11,811,483,743 = 11,811,483,743 : x
  2. Step 2: Convert to fraction form
    8,494,903,096/11,811,483,743 = 11,811,483,743/x
  3. Step 3: Cross multiply
    8,494,903,096x = 11,811,483,743 × 11,811,483,743
  4. Step 4: Simplify right side
    8,494,903,096x = 139,511,148,211,153,289,216
  5. Step 5: Solve for x
    x = 139,511,148,211,153,289,216/8,494,903,096
  6. Step 6: Final answer
    x = 16,422,924,032.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.