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Finding the Third Proportional to 5,174,840,612 and 11,256,366,831

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Solution

The third proportional to 5,174,840,612 and 11,256,366,831 is: 24,484,965,573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174,840,612 : 11,256,366,831 = 11,256,366,831 : x
  2. Step 2: Convert to fraction form
    5,174,840,612/11,256,366,831 = 11,256,366,831/x
  3. Step 3: Cross multiply
    5,174,840,612x = 11,256,366,831 × 11,256,366,831
  4. Step 4: Simplify right side
    5,174,840,612x = 126,705,794,234,036,977,664
  5. Step 5: Solve for x
    x = 126,705,794,234,036,977,664/5,174,840,612
  6. Step 6: Final answer
    x = 24,484,965,573.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.