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Finding the Third Proportional to 6,436,593 and 13,402,278

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Solution

The third proportional to 6,436,593 and 13,402,278 is: 27,906,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436,593 : 13,402,278 = 13,402,278 : x
  2. Step 2: Convert to fraction form
    6,436,593/13,402,278 = 13,402,278/x
  3. Step 3: Cross multiply
    6,436,593x = 13,402,278 × 13,402,278
  4. Step 4: Simplify right side
    6,436,593x = 179,621,055,589,284
  5. Step 5: Solve for x
    x = 179,621,055,589,284/6,436,593
  6. Step 6: Final answer
    x = 27,906,231.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.