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Finding the Third Proportional to 827,926,194 and 1,680,180,576

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Solution

The third proportional to 827,926,194 and 1,680,180,576 is: 3,409,732,399.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,926,194 : 1,680,180,576 = 1,680,180,576 : x
  2. Step 2: Convert to fraction form
    827,926,194/1,680,180,576 = 1,680,180,576/x
  3. Step 3: Cross multiply
    827,926,194x = 1,680,180,576 × 1,680,180,576
  4. Step 4: Simplify right side
    827,926,194x = 2,823,006,767,967,691,776
  5. Step 5: Solve for x
    x = 2,823,006,767,967,691,776/827,926,194
  6. Step 6: Final answer
    x = 3,409,732,399.37

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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.