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Finding the Third Proportional to 6,475,974 and 14,255,886

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Solution

The third proportional to 6,475,974 and 14,255,886 is: 31,382,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475,974 : 14,255,886 = 14,255,886 : x
  2. Step 2: Convert to fraction form
    6,475,974/14,255,886 = 14,255,886/x
  3. Step 3: Cross multiply
    6,475,974x = 14,255,886 × 14,255,886
  4. Step 4: Simplify right side
    6,475,974x = 203,230,285,644,996
  5. Step 5: Solve for x
    x = 203,230,285,644,996/6,475,974
  6. Step 6: Final answer
    x = 31,382,196.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.