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Finding the Third Proportional to 6,095,647 and 13,242,109

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Solution

The third proportional to 6,095,647 and 13,242,109 is: 28,766,995.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095,647 : 13,242,109 = 13,242,109 : x
  2. Step 2: Convert to fraction form
    6,095,647/13,242,109 = 13,242,109/x
  3. Step 3: Cross multiply
    6,095,647x = 13,242,109 × 13,242,109
  4. Step 4: Simplify right side
    6,095,647x = 175,353,450,767,881
  5. Step 5: Solve for x
    x = 175,353,450,767,881/6,095,647
  6. Step 6: Final answer
    x = 28,766,995.66

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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.