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Finding the Third Proportional to 6,183,205 and 8,544,021

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Solution

The third proportional to 6,183,205 and 8,544,021 is: 11,806,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183,205 : 8,544,021 = 8,544,021 : x
  2. Step 2: Convert to fraction form
    6,183,205/8,544,021 = 8,544,021/x
  3. Step 3: Cross multiply
    6,183,205x = 8,544,021 × 8,544,021
  4. Step 4: Simplify right side
    6,183,205x = 73,000,294,848,441
  5. Step 5: Solve for x
    x = 73,000,294,848,441/6,183,205
  6. Step 6: Final answer
    x = 11,806,222.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.