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Finding the Third Proportional to 6,286,136 and 13,573,936

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Solution

The third proportional to 6,286,136 and 13,573,936 is: 29,310,810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286,136 : 13,573,936 = 13,573,936 : x
  2. Step 2: Convert to fraction form
    6,286,136/13,573,936 = 13,573,936/x
  3. Step 3: Cross multiply
    6,286,136x = 13,573,936 × 13,573,936
  4. Step 4: Simplify right side
    6,286,136x = 184,251,738,532,096
  5. Step 5: Solve for x
    x = 184,251,738,532,096/6,286,136
  6. Step 6: Final answer
    x = 29,310,810.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.