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Finding the Third Proportional to 7,846,147 and 16,894,596

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Solution

The third proportional to 7,846,147 and 16,894,596 is: 36,378,030.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846,147 : 16,894,596 = 16,894,596 : x
  2. Step 2: Convert to fraction form
    7,846,147/16,894,596 = 16,894,596/x
  3. Step 3: Cross multiply
    7,846,147x = 16,894,596 × 16,894,596
  4. Step 4: Simplify right side
    7,846,147x = 285,427,374,003,216
  5. Step 5: Solve for x
    x = 285,427,374,003,216/7,846,147
  6. Step 6: Final answer
    x = 36,378,030.39

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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.