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Finding the Third Proportional to 827,926,185 and 1,680,180,558

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Solution

The third proportional to 827,926,185 and 1,680,180,558 is: 3,409,732,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,926,185 : 1,680,180,558 = 1,680,180,558 : x
  2. Step 2: Convert to fraction form
    827,926,185/1,680,180,558 = 1,680,180,558/x
  3. Step 3: Cross multiply
    827,926,185x = 1,680,180,558 × 1,680,180,558
  4. Step 4: Simplify right side
    827,926,185x = 2,823,006,707,481,191,424
  5. Step 5: Solve for x
    x = 2,823,006,707,481,191,424/827,926,185
  6. Step 6: Final answer
    x = 3,409,732,363.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.