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Finding the Third Proportional to 867,910,096 and 1,309,936,224

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Solution

The third proportional to 867,910,096 and 1,309,936,224 is: 1,977,086,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,910,096 : 1,309,936,224 = 1,309,936,224 : x
  2. Step 2: Convert to fraction form
    867,910,096/1,309,936,224 = 1,309,936,224/x
  3. Step 3: Cross multiply
    867,910,096x = 1,309,936,224 × 1,309,936,224
  4. Step 4: Simplify right side
    867,910,096x = 1,715,932,910,947,378,176
  5. Step 5: Solve for x
    x = 1,715,932,910,947,378,176/867,910,096
  6. Step 6: Final answer
    x = 1,977,086,012.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.