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Finding the Third Proportional to 11,786,904 and 16,637,148

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Solution

The third proportional to 11,786,904 and 16,637,148 is: 23,483,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786,904 : 16,637,148 = 16,637,148 : x
  2. Step 2: Convert to fraction form
    11,786,904/16,637,148 = 16,637,148/x
  3. Step 3: Cross multiply
    11,786,904x = 16,637,148 × 16,637,148
  4. Step 4: Simplify right side
    11,786,904x = 276,794,693,573,904
  5. Step 5: Solve for x
    x = 276,794,693,573,904/11,786,904
  6. Step 6: Final answer
    x = 23,483,239.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.