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Finding the Third Proportional to 382,027,404 and 818,564,568

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Solution

The third proportional to 382,027,404 and 818,564,568 is: 1,753,926,406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,027,404 : 818,564,568 = 818,564,568 : x
  2. Step 2: Convert to fraction form
    382,027,404/818,564,568 = 818,564,568/x
  3. Step 3: Cross multiply
    382,027,404x = 818,564,568 × 818,564,568
  4. Step 4: Simplify right side
    382,027,404x = 670,047,951,985,026,560
  5. Step 5: Solve for x
    x = 670,047,951,985,026,560/382,027,404
  6. Step 6: Final answer
    x = 1,753,926,406.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.