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Finding the Third Proportional to 34,917,747 and 82,310,843

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Solution

The third proportional to 34,917,747 and 82,310,843 is: 194,029,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,917,747 : 82,310,843 = 82,310,843 : x
  2. Step 2: Convert to fraction form
    34,917,747/82,310,843 = 82,310,843/x
  3. Step 3: Cross multiply
    34,917,747x = 82,310,843 × 82,310,843
  4. Step 4: Simplify right side
    34,917,747x = 6,775,074,875,370,649
  5. Step 5: Solve for x
    x = 6,775,074,875,370,649/34,917,747
  6. Step 6: Final answer
    x = 194,029,553.95

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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.