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Finding the Third Proportional to 8,144,637 and 16,083,696

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Solution

The third proportional to 8,144,637 and 16,083,696 is: 31,761,424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144,637 : 16,083,696 = 16,083,696 : x
  2. Step 2: Convert to fraction form
    8,144,637/16,083,696 = 16,083,696/x
  3. Step 3: Cross multiply
    8,144,637x = 16,083,696 × 16,083,696
  4. Step 4: Simplify right side
    8,144,637x = 258,685,277,020,416
  5. Step 5: Solve for x
    x = 258,685,277,020,416/8,144,637
  6. Step 6: Final answer
    x = 31,761,424.97

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.