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Finding the Third Proportional to 13,097,264 and 27,551,856

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Solution

The third proportional to 13,097,264 and 27,551,856 is: 57,959,033.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097,264 : 27,551,856 = 27,551,856 : x
  2. Step 2: Convert to fraction form
    13,097,264/27,551,856 = 27,551,856/x
  3. Step 3: Cross multiply
    13,097,264x = 27,551,856 × 27,551,856
  4. Step 4: Simplify right side
    13,097,264x = 759,104,769,044,736
  5. Step 5: Solve for x
    x = 759,104,769,044,736/13,097,264
  6. Step 6: Final answer
    x = 57,959,033.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.