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Finding the Third Proportional to 7,846,344 and 16,894,998

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Solution

The third proportional to 7,846,344 and 16,894,998 is: 36,378,848.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846,344 : 16,894,998 = 16,894,998 : x
  2. Step 2: Convert to fraction form
    7,846,344/16,894,998 = 16,894,998/x
  3. Step 3: Cross multiply
    7,846,344x = 16,894,998 × 16,894,998
  4. Step 4: Simplify right side
    7,846,344x = 285,440,957,420,004
  5. Step 5: Solve for x
    x = 285,440,957,420,004/7,846,344
  6. Step 6: Final answer
    x = 36,378,848.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.