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Finding the Third Proportional to 9,777,198 and 14,366,136

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Solution

The third proportional to 9,777,198 and 14,366,136 is: 21,108,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777,198 : 14,366,136 = 14,366,136 : x
  2. Step 2: Convert to fraction form
    9,777,198/14,366,136 = 14,366,136/x
  3. Step 3: Cross multiply
    9,777,198x = 14,366,136 × 14,366,136
  4. Step 4: Simplify right side
    9,777,198x = 206,385,863,570,496
  5. Step 5: Solve for x
    x = 206,385,863,570,496/9,777,198
  6. Step 6: Final answer
    x = 21,108,896.80

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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.