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Finding the Third Proportional to 12,769,296 and 27,564,384

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Solution

The third proportional to 12,769,296 and 27,564,384 is: 59,501,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769,296 : 27,564,384 = 27,564,384 : x
  2. Step 2: Convert to fraction form
    12,769,296/27,564,384 = 27,564,384/x
  3. Step 3: Cross multiply
    12,769,296x = 27,564,384 × 27,564,384
  4. Step 4: Simplify right side
    12,769,296x = 759,795,265,299,456
  5. Step 5: Solve for x
    x = 759,795,265,299,456/12,769,296
  6. Step 6: Final answer
    x = 59,501,734.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.