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Finding the Third Proportional to 317,088,183 and 696,532,110

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Solution

The third proportional to 317,088,183 and 696,532,110 is: 1,530,038,034.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,088,183 : 696,532,110 = 696,532,110 : x
  2. Step 2: Convert to fraction form
    317,088,183/696,532,110 = 696,532,110/x
  3. Step 3: Cross multiply
    317,088,183x = 696,532,110 × 696,532,110
  4. Step 4: Simplify right side
    317,088,183x = 485,156,980,261,052,096
  5. Step 5: Solve for x
    x = 485,156,980,261,052,096/317,088,183
  6. Step 6: Final answer
    x = 1,530,038,034.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.