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Finding the Third Proportional to 3,004,205 and 6,680,089

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Solution

The third proportional to 3,004,205 and 6,680,089 is: 14,853,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004,205 : 6,680,089 = 6,680,089 : x
  2. Step 2: Convert to fraction form
    3,004,205/6,680,089 = 6,680,089/x
  3. Step 3: Cross multiply
    3,004,205x = 6,680,089 × 6,680,089
  4. Step 4: Simplify right side
    3,004,205x = 44,623,589,047,921
  5. Step 5: Solve for x
    x = 44,623,589,047,921/3,004,205
  6. Step 6: Final answer
    x = 14,853,709.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.