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Finding the Third Proportional to 3,184,176 and 6,727,752

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Solution

The third proportional to 3,184,176 and 6,727,752 is: 14,214,869.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184,176 : 6,727,752 = 6,727,752 : x
  2. Step 2: Convert to fraction form
    3,184,176/6,727,752 = 6,727,752/x
  3. Step 3: Cross multiply
    3,184,176x = 6,727,752 × 6,727,752
  4. Step 4: Simplify right side
    3,184,176x = 45,262,646,973,504
  5. Step 5: Solve for x
    x = 45,262,646,973,504/3,184,176
  6. Step 6: Final answer
    x = 14,214,869.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.