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Finding the Third Proportional to 2,771,199 and 6,474,770

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Solution

The third proportional to 2,771,199 and 6,474,770 is: 15,127,981.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771,199 : 6,474,770 = 6,474,770 : x
  2. Step 2: Convert to fraction form
    2,771,199/6,474,770 = 6,474,770/x
  3. Step 3: Cross multiply
    2,771,199x = 6,474,770 × 6,474,770
  4. Step 4: Simplify right side
    2,771,199x = 41,922,646,552,900
  5. Step 5: Solve for x
    x = 41,922,646,552,900/2,771,199
  6. Step 6: Final answer
    x = 15,127,981.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.