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Finding the Third Proportional to 11,493,141 and 17,208,057

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Solution

The third proportional to 11,493,141 and 17,208,057 is: 25,764,690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493,141 : 17,208,057 = 17,208,057 : x
  2. Step 2: Convert to fraction form
    11,493,141/17,208,057 = 17,208,057/x
  3. Step 3: Cross multiply
    11,493,141x = 17,208,057 × 17,208,057
  4. Step 4: Simplify right side
    11,493,141x = 296,117,225,715,249
  5. Step 5: Solve for x
    x = 296,117,225,715,249/11,493,141
  6. Step 6: Final answer
    x = 25,764,690.93

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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.