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Finding the Third Proportional to 3,105,510 and 6,584,268

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Solution

The third proportional to 3,105,510 and 6,584,268 is: 13,959,892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105,510 : 6,584,268 = 6,584,268 : x
  2. Step 2: Convert to fraction form
    3,105,510/6,584,268 = 6,584,268/x
  3. Step 3: Cross multiply
    3,105,510x = 6,584,268 × 6,584,268
  4. Step 4: Simplify right side
    3,105,510x = 43,352,585,095,824
  5. Step 5: Solve for x
    x = 43,352,585,095,824/3,105,510
  6. Step 6: Final answer
    x = 13,959,892.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.