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Finding the Third Proportional to 3,184,178 and 6,727,756

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Solution

The third proportional to 3,184,178 and 6,727,756 is: 14,214,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184,178 : 6,727,756 = 6,727,756 : x
  2. Step 2: Convert to fraction form
    3,184,178/6,727,756 = 6,727,756/x
  3. Step 3: Cross multiply
    3,184,178x = 6,727,756 × 6,727,756
  4. Step 4: Simplify right side
    3,184,178x = 45,262,700,795,536
  5. Step 5: Solve for x
    x = 45,262,700,795,536/3,184,178
  6. Step 6: Final answer
    x = 14,214,877.68

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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.