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Finding the Third Proportional to 3,023,473 and 6,578,388

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Solution

The third proportional to 3,023,473 and 6,578,388 is: 14,313,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023,473 : 6,578,388 = 6,578,388 : x
  2. Step 2: Convert to fraction form
    3,023,473/6,578,388 = 6,578,388/x
  3. Step 3: Cross multiply
    3,023,473x = 6,578,388 × 6,578,388
  4. Step 4: Simplify right side
    3,023,473x = 43,275,188,678,544
  5. Step 5: Solve for x
    x = 43,275,188,678,544/3,023,473
  6. Step 6: Final answer
    x = 14,313,072.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.