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Finding the Third Proportional to 317,088,180 and 696,532,104

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Solution

The third proportional to 317,088,180 and 696,532,104 is: 1,530,038,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,088,180 : 696,532,104 = 696,532,104 : x
  2. Step 2: Convert to fraction form
    317,088,180/696,532,104 = 696,532,104/x
  3. Step 3: Cross multiply
    317,088,180x = 696,532,104 × 696,532,104
  4. Step 4: Simplify right side
    317,088,180x = 485,156,971,902,666,816
  5. Step 5: Solve for x
    x = 485,156,971,902,666,816/317,088,180
  6. Step 6: Final answer
    x = 1,530,038,022.55

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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.