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Finding the Third Proportional to 3,296,886 and 6,948,011

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Solution

The third proportional to 3,296,886 and 6,948,011 is: 14,642,561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296,886 : 6,948,011 = 6,948,011 : x
  2. Step 2: Convert to fraction form
    3,296,886/6,948,011 = 6,948,011/x
  3. Step 3: Cross multiply
    3,296,886x = 6,948,011 × 6,948,011
  4. Step 4: Simplify right side
    3,296,886x = 48,274,856,856,121
  5. Step 5: Solve for x
    x = 48,274,856,856,121/3,296,886
  6. Step 6: Final answer
    x = 14,642,561.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.