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Finding the Third Proportional to 828,940,666 and 1,797,744,675

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Solution

The third proportional to 828,940,666 and 1,797,744,675 is: 3,898,814,534.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,940,666 : 1,797,744,675 = 1,797,744,675 : x
  2. Step 2: Convert to fraction form
    828,940,666/1,797,744,675 = 1,797,744,675/x
  3. Step 3: Cross multiply
    828,940,666x = 1,797,744,675 × 1,797,744,675
  4. Step 4: Simplify right side
    828,940,666x = 3,231,885,916,490,855,424
  5. Step 5: Solve for x
    x = 3,231,885,916,490,855,424/828,940,666
  6. Step 6: Final answer
    x = 3,898,814,534.08

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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.