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Finding the Third Proportional to 6,664,908,084 and 14,332,861,848

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Solution

The third proportional to 6,664,908,084 and 14,332,861,848 is: 30,822,769,971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664,908,084 : 14,332,861,848 = 14,332,861,848 : x
  2. Step 2: Convert to fraction form
    6,664,908,084/14,332,861,848 = 14,332,861,848/x
  3. Step 3: Cross multiply
    6,664,908,084x = 14,332,861,848 × 14,332,861,848
  4. Step 4: Simplify right side
    6,664,908,084x = 205,430,928,753,853,988,864
  5. Step 5: Solve for x
    x = 205,430,928,753,853,988,864/6,664,908,084
  6. Step 6: Final answer
    x = 30,822,769,971.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.