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Finding the Third Proportional to 3,136,496 and 6,804,064

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Solution

The third proportional to 3,136,496 and 6,804,064 is: 14,760,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136,496 : 6,804,064 = 6,804,064 : x
  2. Step 2: Convert to fraction form
    3,136,496/6,804,064 = 6,804,064/x
  3. Step 3: Cross multiply
    3,136,496x = 6,804,064 × 6,804,064
  4. Step 4: Simplify right side
    3,136,496x = 46,295,286,916,096
  5. Step 5: Solve for x
    x = 46,295,286,916,096/3,136,496
  6. Step 6: Final answer
    x = 14,760,193.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.