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Finding the Third Proportional to 10,920,136 and 16,100,268

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Solution

The third proportional to 10,920,136 and 16,100,268 is: 23,737,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920,136 : 16,100,268 = 16,100,268 : x
  2. Step 2: Convert to fraction form
    10,920,136/16,100,268 = 16,100,268/x
  3. Step 3: Cross multiply
    10,920,136x = 16,100,268 × 16,100,268
  4. Step 4: Simplify right side
    10,920,136x = 259,218,629,671,824
  5. Step 5: Solve for x
    x = 259,218,629,671,824/10,920,136
  6. Step 6: Final answer
    x = 23,737,674.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.