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Finding the Third Proportional to 8,212,460 and 16,945,264

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Solution

The third proportional to 8,212,460 and 16,945,264 is: 34,964,185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212,460 : 16,945,264 = 16,945,264 : x
  2. Step 2: Convert to fraction form
    8,212,460/16,945,264 = 16,945,264/x
  3. Step 3: Cross multiply
    8,212,460x = 16,945,264 × 16,945,264
  4. Step 4: Simplify right side
    8,212,460x = 287,141,972,029,696
  5. Step 5: Solve for x
    x = 287,141,972,029,696/8,212,460
  6. Step 6: Final answer
    x = 34,964,185.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.