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Finding the Third Proportional to 4,166,700,096 and 8,906,437,600

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Solution

The third proportional to 4,166,700,096 and 8,906,437,600 is: 19,037,758,632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166,700,096 : 8,906,437,600 = 8,906,437,600 : x
  2. Step 2: Convert to fraction form
    4,166,700,096/8,906,437,600 = 8,906,437,600/x
  3. Step 3: Cross multiply
    4,166,700,096x = 8,906,437,600 × 8,906,437,600
  4. Step 4: Simplify right side
    4,166,700,096x = 79,324,630,722,693,758,976
  5. Step 5: Solve for x
    x = 79,324,630,722,693,758,976/4,166,700,096
  6. Step 6: Final answer
    x = 19,037,758,632.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.