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Finding the Third Proportional to 6,740,647.50 and 14,823,843

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Solution

The third proportional to 6,740,647.50 and 14,823,843 is: 32,600,179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740,647.50 : 14,823,843 = 14,823,843 : x
  2. Step 2: Convert to fraction form
    6,740,647.50/14,823,843 = 14,823,843/x
  3. Step 3: Cross multiply
    6,740,647.50x = 14,823,843 × 14,823,843
  4. Step 4: Simplify right side
    6,740,647.50x = 219,746,321,288,649
  5. Step 5: Solve for x
    x = 219,746,321,288,649/6,740,647.50
  6. Step 6: Final answer
    x = 32,600,179.92

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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.