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Finding the Third Proportional to 8,144,776 and 16,083,916

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Solution

The third proportional to 8,144,776 and 16,083,916 is: 31,761,751.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144,776 : 16,083,916 = 16,083,916 : x
  2. Step 2: Convert to fraction form
    8,144,776/16,083,916 = 16,083,916/x
  3. Step 3: Cross multiply
    8,144,776x = 16,083,916 × 16,083,916
  4. Step 4: Simplify right side
    8,144,776x = 258,692,353,895,056
  5. Step 5: Solve for x
    x = 258,692,353,895,056/8,144,776
  6. Step 6: Final answer
    x = 31,761,751.81

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