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Finding the Third Proportional to 3,196,714 and 6,846,866

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Solution

The third proportional to 3,196,714 and 6,846,866 is: 14,664,925.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196,714 : 6,846,866 = 6,846,866 : x
  2. Step 2: Convert to fraction form
    3,196,714/6,846,866 = 6,846,866/x
  3. Step 3: Cross multiply
    3,196,714x = 6,846,866 × 6,846,866
  4. Step 4: Simplify right side
    3,196,714x = 46,879,574,021,956
  5. Step 5: Solve for x
    x = 46,879,574,021,956/3,196,714
  6. Step 6: Final answer
    x = 14,664,925.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.