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Finding the Third Proportional to 974,366,382 and 2,299,330,265

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Solution

The third proportional to 974,366,382 and 2,299,330,265 is: 5,426,007,880.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,366,382 : 2,299,330,265 = 2,299,330,265 : x
  2. Step 2: Convert to fraction form
    974,366,382/2,299,330,265 = 2,299,330,265/x
  3. Step 3: Cross multiply
    974,366,382x = 2,299,330,265 × 2,299,330,265
  4. Step 4: Simplify right side
    974,366,382x = 5,286,919,667,544,970,240
  5. Step 5: Solve for x
    x = 5,286,919,667,544,970,240/974,366,382
  6. Step 6: Final answer
    x = 5,426,007,880.83

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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.