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Finding the Third Proportional to 6,449,184 and 14,077,296

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Solution

The third proportional to 6,449,184 and 14,077,296 is: 30,727,959.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449,184 : 14,077,296 = 14,077,296 : x
  2. Step 2: Convert to fraction form
    6,449,184/14,077,296 = 14,077,296/x
  3. Step 3: Cross multiply
    6,449,184x = 14,077,296 × 14,077,296
  4. Step 4: Simplify right side
    6,449,184x = 198,170,262,671,616
  5. Step 5: Solve for x
    x = 198,170,262,671,616/6,449,184
  6. Step 6: Final answer
    x = 30,727,959.18

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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.