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Finding the Third Proportional to 27,202,412 and 57,475,174

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Solution

The third proportional to 27,202,412 and 57,475,174 is: 121,437,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202,412 : 57,475,174 = 57,475,174 : x
  2. Step 2: Convert to fraction form
    27,202,412/57,475,174 = 57,475,174/x
  3. Step 3: Cross multiply
    27,202,412x = 57,475,174 × 57,475,174
  4. Step 4: Simplify right side
    27,202,412x = 3,303,395,626,330,276
  5. Step 5: Solve for x
    x = 3,303,395,626,330,276/27,202,412
  6. Step 6: Final answer
    x = 121,437,599.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.