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Finding the Third Proportional to 6,184,960 and 9,362,984

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Solution

The third proportional to 6,184,960 and 9,362,984 is: 14,173,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184,960 : 9,362,984 = 9,362,984 : x
  2. Step 2: Convert to fraction form
    6,184,960/9,362,984 = 9,362,984/x
  3. Step 3: Cross multiply
    6,184,960x = 9,362,984 × 9,362,984
  4. Step 4: Simplify right side
    6,184,960x = 87,665,469,384,256
  5. Step 5: Solve for x
    x = 87,665,469,384,256/6,184,960
  6. Step 6: Final answer
    x = 14,173,975.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.