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Finding the Third Proportional to 317,090,216 and 696,535,744

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Solution

The third proportional to 317,090,216 and 696,535,744 is: 1,530,044,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,090,216 : 696,535,744 = 696,535,744 : x
  2. Step 2: Convert to fraction form
    317,090,216/696,535,744 = 696,535,744/x
  3. Step 3: Cross multiply
    317,090,216x = 696,535,744 × 696,535,744
  4. Step 4: Simplify right side
    317,090,216x = 485,162,042,669,633,536
  5. Step 5: Solve for x
    x = 485,162,042,669,633,536/317,090,216
  6. Step 6: Final answer
    x = 1,530,044,189.91

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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.