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Finding the Third Proportional to 34,917,756 and 82,310,845

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Solution

The third proportional to 34,917,756 and 82,310,845 is: 194,029,513.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,917,756 : 82,310,845 = 82,310,845 : x
  2. Step 2: Convert to fraction form
    34,917,756/82,310,845 = 82,310,845/x
  3. Step 3: Cross multiply
    34,917,756x = 82,310,845 × 82,310,845
  4. Step 4: Simplify right side
    34,917,756x = 6,775,075,204,614,025
  5. Step 5: Solve for x
    x = 6,775,075,204,614,025/34,917,756
  6. Step 6: Final answer
    x = 194,029,513.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.