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Finding the Third Proportional to 3,669,138 and 8,633,259

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Solution

The third proportional to 3,669,138 and 8,633,259 is: 20,313,534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,138 : 8,633,259 = 8,633,259 : x
  2. Step 2: Convert to fraction form
    3,669,138/8,633,259 = 8,633,259/x
  3. Step 3: Cross multiply
    3,669,138x = 8,633,259 × 8,633,259
  4. Step 4: Simplify right side
    3,669,138x = 74,533,160,961,081
  5. Step 5: Solve for x
    x = 74,533,160,961,081/3,669,138
  6. Step 6: Final answer
    x = 20,313,534.39

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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.