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Finding the Third Proportional to 974,366,344 and 2,299,330,175

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Solution

The third proportional to 974,366,344 and 2,299,330,175 is: 5,426,007,667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,366,344 : 2,299,330,175 = 2,299,330,175 : x
  2. Step 2: Convert to fraction form
    974,366,344/2,299,330,175 = 2,299,330,175/x
  3. Step 3: Cross multiply
    974,366,344x = 2,299,330,175 × 2,299,330,175
  4. Step 4: Simplify right side
    974,366,344x = 5,286,919,253,665,530,880
  5. Step 5: Solve for x
    x = 5,286,919,253,665,530,880/974,366,344
  6. Step 6: Final answer
    x = 5,426,007,667.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.