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Finding the Third Proportional to 2,899,836 and 6,823,374

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Solution

The third proportional to 2,899,836 and 6,823,374 is: 16,055,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899,836 : 6,823,374 = 6,823,374 : x
  2. Step 2: Convert to fraction form
    2,899,836/6,823,374 = 6,823,374/x
  3. Step 3: Cross multiply
    2,899,836x = 6,823,374 × 6,823,374
  4. Step 4: Simplify right side
    2,899,836x = 46,558,432,743,876
  5. Step 5: Solve for x
    x = 46,558,432,743,876/2,899,836
  6. Step 6: Final answer
    x = 16,055,539.95

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.