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Finding the Third Proportional to 11,493,137 and 17,208,051

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Solution

The third proportional to 11,493,137 and 17,208,051 is: 25,764,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493,137 : 17,208,051 = 17,208,051 : x
  2. Step 2: Convert to fraction form
    11,493,137/17,208,051 = 17,208,051/x
  3. Step 3: Cross multiply
    11,493,137x = 17,208,051 × 17,208,051
  4. Step 4: Simplify right side
    11,493,137x = 296,117,019,218,601
  5. Step 5: Solve for x
    x = 296,117,019,218,601/11,493,137
  6. Step 6: Final answer
    x = 25,764,681.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.