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Finding the Third Proportional to 6,729,234 and 14,804,196

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Solution

The third proportional to 6,729,234 and 14,804,196 is: 32,568,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,234 : 14,804,196 = 14,804,196 : x
  2. Step 2: Convert to fraction form
    6,729,234/14,804,196 = 14,804,196/x
  3. Step 3: Cross multiply
    6,729,234x = 14,804,196 × 14,804,196
  4. Step 4: Simplify right side
    6,729,234x = 219,164,219,206,416
  5. Step 5: Solve for x
    x = 219,164,219,206,416/6,729,234
  6. Step 6: Final answer
    x = 32,568,969.84

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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.