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Finding the Third Proportional to 3,669,120 and 8,633,217

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Solution

The third proportional to 3,669,120 and 8,633,217 is: 20,313,436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,120 : 8,633,217 = 8,633,217 : x
  2. Step 2: Convert to fraction form
    3,669,120/8,633,217 = 8,633,217/x
  3. Step 3: Cross multiply
    3,669,120x = 8,633,217 × 8,633,217
  4. Step 4: Simplify right side
    3,669,120x = 74,532,435,769,089
  5. Step 5: Solve for x
    x = 74,532,435,769,089/3,669,120
  6. Step 6: Final answer
    x = 20,313,436.40

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.