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Finding the Third Proportional to 3,669,461 and 8,290,235

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Solution

The third proportional to 3,669,461 and 8,290,235 is: 18,729,725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,461 : 8,290,235 = 8,290,235 : x
  2. Step 2: Convert to fraction form
    3,669,461/8,290,235 = 8,290,235/x
  3. Step 3: Cross multiply
    3,669,461x = 8,290,235 × 8,290,235
  4. Step 4: Simplify right side
    3,669,461x = 68,727,996,355,225
  5. Step 5: Solve for x
    x = 68,727,996,355,225/3,669,461
  6. Step 6: Final answer
    x = 18,729,725.25

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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.