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Finding the Third Proportional to 13,048,128 and 27,285,984

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Solution

The third proportional to 13,048,128 and 27,285,984 is: 57,059,903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048,128 : 27,285,984 = 27,285,984 : x
  2. Step 2: Convert to fraction form
    13,048,128/27,285,984 = 27,285,984/x
  3. Step 3: Cross multiply
    13,048,128x = 27,285,984 × 27,285,984
  4. Step 4: Simplify right side
    13,048,128x = 744,524,922,848,256
  5. Step 5: Solve for x
    x = 744,524,922,848,256/13,048,128
  6. Step 6: Final answer
    x = 57,059,903.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.