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Finding the Third Proportional to 227,741,184,960 and 474,332,372,928

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Solution

The third proportional to 227,741,184,960 and 474,332,372,928 is: 987,924,955,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,741,184,960 : 474,332,372,928 = 474,332,372,928 : x
  2. Step 2: Convert to fraction form
    227,741,184,960/474,332,372,928 = 474,332,372,928/x
  3. Step 3: Cross multiply
    227,741,184,960x = 474,332,372,928 × 474,332,372,928
  4. Step 4: Simplify right side
    227,741,184,960x = 224,991,200,007,507,280,920,576
  5. Step 5: Solve for x
    x = 224,991,200,007,507,280,920,576/227,741,184,960
  6. Step 6: Final answer
    x = 987,924,955,457.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.