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Finding the Third Proportional to 6,311,133 and 13,618,710

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Solution

The third proportional to 6,311,133 and 13,618,710 is: 29,387,633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311,133 : 13,618,710 = 13,618,710 : x
  2. Step 2: Convert to fraction form
    6,311,133/13,618,710 = 13,618,710/x
  3. Step 3: Cross multiply
    6,311,133x = 13,618,710 × 13,618,710
  4. Step 4: Simplify right side
    6,311,133x = 185,469,262,064,100
  5. Step 5: Solve for x
    x = 185,469,262,064,100/6,311,133
  6. Step 6: Final answer
    x = 29,387,633.26

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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.