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Finding the Third Proportional to 3,096,678 and 6,411,099

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Solution

The third proportional to 3,096,678 and 6,411,099 is: 13,272,994.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096,678 : 6,411,099 = 6,411,099 : x
  2. Step 2: Convert to fraction form
    3,096,678/6,411,099 = 6,411,099/x
  3. Step 3: Cross multiply
    3,096,678x = 6,411,099 × 6,411,099
  4. Step 4: Simplify right side
    3,096,678x = 41,102,190,387,801
  5. Step 5: Solve for x
    x = 41,102,190,387,801/3,096,678
  6. Step 6: Final answer
    x = 13,272,994.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.