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Finding the Third Proportional to 974,366,342 and 2,299,330,172

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Solution

The third proportional to 974,366,342 and 2,299,330,172 is: 5,426,007,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,366,342 : 2,299,330,172 = 2,299,330,172 : x
  2. Step 2: Convert to fraction form
    974,366,342/2,299,330,172 = 2,299,330,172/x
  3. Step 3: Cross multiply
    974,366,342x = 2,299,330,172 × 2,299,330,172
  4. Step 4: Simplify right side
    974,366,342x = 5,286,919,239,869,549,568
  5. Step 5: Solve for x
    x = 5,286,919,239,869,549,568/974,366,342
  6. Step 6: Final answer
    x = 5,426,007,664.65

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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.