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Finding the Third Proportional to 6,184,992 and 8,709,840

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Solution

The third proportional to 6,184,992 and 8,709,840 is: 12,265,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184,992 : 8,709,840 = 8,709,840 : x
  2. Step 2: Convert to fraction form
    6,184,992/8,709,840 = 8,709,840/x
  3. Step 3: Cross multiply
    6,184,992x = 8,709,840 × 8,709,840
  4. Step 4: Simplify right side
    6,184,992x = 75,861,312,825,600
  5. Step 5: Solve for x
    x = 75,861,312,825,600/6,184,992
  6. Step 6: Final answer
    x = 12,265,385.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.