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Finding the Third Proportional to 6,965,012 and 14,635,048

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Solution

The third proportional to 6,965,012 and 14,635,048 is: 30,751,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965,012 : 14,635,048 = 14,635,048 : x
  2. Step 2: Convert to fraction form
    6,965,012/14,635,048 = 14,635,048/x
  3. Step 3: Cross multiply
    6,965,012x = 14,635,048 × 14,635,048
  4. Step 4: Simplify right side
    6,965,012x = 214,184,629,962,304
  5. Step 5: Solve for x
    x = 214,184,629,962,304/6,965,012
  6. Step 6: Final answer
    x = 30,751,509.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.