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Finding the Third Proportional to 6,407,100 and 13,628,088

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Solution

The third proportional to 6,407,100 and 13,628,088 is: 28,987,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407,100 : 13,628,088 = 13,628,088 : x
  2. Step 2: Convert to fraction form
    6,407,100/13,628,088 = 13,628,088/x
  3. Step 3: Cross multiply
    6,407,100x = 13,628,088 × 13,628,088
  4. Step 4: Simplify right side
    6,407,100x = 185,724,782,535,744
  5. Step 5: Solve for x
    x = 185,724,782,535,744/6,407,100
  6. Step 6: Final answer
    x = 28,987,339.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.