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Finding the Third Proportional to 5,591,931,096 and 8,682,539,064

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Solution

The third proportional to 5,591,931,096 and 8,682,539,064 is: 13,481,297,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591,931,096 : 8,682,539,064 = 8,682,539,064 : x
  2. Step 2: Convert to fraction form
    5,591,931,096/8,682,539,064 = 8,682,539,064/x
  3. Step 3: Cross multiply
    5,591,931,096x = 8,682,539,064 × 8,682,539,064
  4. Step 4: Simplify right side
    5,591,931,096x = 75,386,484,597,885,992,960
  5. Step 5: Solve for x
    x = 75,386,484,597,885,992,960/5,591,931,096
  6. Step 6: Final answer
    x = 13,481,297,123.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.