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Finding the Third Proportional to 7,857,660 and 11,738,097

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Solution

The third proportional to 7,857,660 and 11,738,097 is: 17,534,854.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857,660 : 11,738,097 = 11,738,097 : x
  2. Step 2: Convert to fraction form
    7,857,660/11,738,097 = 11,738,097/x
  3. Step 3: Cross multiply
    7,857,660x = 11,738,097 × 11,738,097
  4. Step 4: Simplify right side
    7,857,660x = 137,782,921,181,409
  5. Step 5: Solve for x
    x = 137,782,921,181,409/7,857,660
  6. Step 6: Final answer
    x = 17,534,854.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.