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Finding the Third Proportional to 10,149,111 and 16,661,295

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Solution

The third proportional to 10,149,111 and 16,661,295 is: 27,352,026.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149,111 : 16,661,295 = 16,661,295 : x
  2. Step 2: Convert to fraction form
    10,149,111/16,661,295 = 16,661,295/x
  3. Step 3: Cross multiply
    10,149,111x = 16,661,295 × 16,661,295
  4. Step 4: Simplify right side
    10,149,111x = 277,598,751,077,025
  5. Step 5: Solve for x
    x = 277,598,751,077,025/10,149,111
  6. Step 6: Final answer
    x = 27,352,026.31

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.