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Finding the Third Proportional to 828,940,674.38 and 1,797,744,690

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Solution

The third proportional to 828,940,674.38 and 1,797,744,690 is: 3,898,814,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,940,674.38 : 1,797,744,690 = 1,797,744,690 : x
  2. Step 2: Convert to fraction form
    828,940,674.38/1,797,744,690 = 1,797,744,690/x
  3. Step 3: Cross multiply
    828,940,674.38x = 1,797,744,690 × 1,797,744,690
  4. Step 4: Simplify right side
    828,940,674.38x = 3,231,885,970,423,196,160
  5. Step 5: Solve for x
    x = 3,231,885,970,423,196,160/828,940,674.38
  6. Step 6: Final answer
    x = 3,898,814,559.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.