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Finding the Third Proportional to 3,097,556 and 6,643,314

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Solution

The third proportional to 3,097,556 and 6,643,314 is: 14,247,884.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,556 : 6,643,314 = 6,643,314 : x
  2. Step 2: Convert to fraction form
    3,097,556/6,643,314 = 6,643,314/x
  3. Step 3: Cross multiply
    3,097,556x = 6,643,314 × 6,643,314
  4. Step 4: Simplify right side
    3,097,556x = 44,133,620,902,596
  5. Step 5: Solve for x
    x = 44,133,620,902,596/3,097,556
  6. Step 6: Final answer
    x = 14,247,884.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.