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Finding the Third Proportional to 3,775,494 and 8,214,444

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Solution

The third proportional to 3,775,494 and 8,214,444 is: 17,872,387.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775,494 : 8,214,444 = 8,214,444 : x
  2. Step 2: Convert to fraction form
    3,775,494/8,214,444 = 8,214,444/x
  3. Step 3: Cross multiply
    3,775,494x = 8,214,444 × 8,214,444
  4. Step 4: Simplify right side
    3,775,494x = 67,477,090,229,136
  5. Step 5: Solve for x
    x = 67,477,090,229,136/3,775,494
  6. Step 6: Final answer
    x = 17,872,387.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.