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Finding the Third Proportional to 3,184,186.50 and 6,727,773

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Solution

The third proportional to 3,184,186.50 and 6,727,773 is: 14,214,911.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184,186.50 : 6,727,773 = 6,727,773 : x
  2. Step 2: Convert to fraction form
    3,184,186.50/6,727,773 = 6,727,773/x
  3. Step 3: Cross multiply
    3,184,186.50x = 6,727,773 × 6,727,773
  4. Step 4: Simplify right side
    3,184,186.50x = 45,262,929,539,529
  5. Step 5: Solve for x
    x = 45,262,929,539,529/3,184,186.50
  6. Step 6: Final answer
    x = 14,214,911.58

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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.