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Finding the Third Proportional to 13,197,250 and 27,601,128

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Solution

The third proportional to 13,197,250 and 27,601,128 is: 57,725,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197,250 : 27,601,128 = 27,601,128 : x
  2. Step 2: Convert to fraction form
    13,197,250/27,601,128 = 27,601,128/x
  3. Step 3: Cross multiply
    13,197,250x = 27,601,128 × 27,601,128
  4. Step 4: Simplify right side
    13,197,250x = 761,822,266,872,384
  5. Step 5: Solve for x
    x = 761,822,266,872,384/13,197,250
  6. Step 6: Final answer
    x = 57,725,834.31

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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.