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Finding the Third Proportional to 3,669,461 and 8,290,239

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Solution

The third proportional to 3,669,461 and 8,290,239 is: 18,729,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,461 : 8,290,239 = 8,290,239 : x
  2. Step 2: Convert to fraction form
    3,669,461/8,290,239 = 8,290,239/x
  3. Step 3: Cross multiply
    3,669,461x = 8,290,239 × 8,290,239
  4. Step 4: Simplify right side
    3,669,461x = 68,728,062,677,121
  5. Step 5: Solve for x
    x = 68,728,062,677,121/3,669,461
  6. Step 6: Final answer
    x = 18,729,743.33

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.