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Finding the Third Proportional to 7,894,920 and 16,410,384

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Solution

The third proportional to 7,894,920 and 16,410,384 is: 34,110,631.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894,920 : 16,410,384 = 16,410,384 : x
  2. Step 2: Convert to fraction form
    7,894,920/16,410,384 = 16,410,384/x
  3. Step 3: Cross multiply
    7,894,920x = 16,410,384 × 16,410,384
  4. Step 4: Simplify right side
    7,894,920x = 269,300,703,027,456
  5. Step 5: Solve for x
    x = 269,300,703,027,456/7,894,920
  6. Step 6: Final answer
    x = 34,110,631.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.