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Finding the Third Proportional to 24,416,332,530 and 52,889,903,922

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Solution

The third proportional to 24,416,332,530 and 52,889,903,922 is: 114,568,473,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416,332,530 : 52,889,903,922 = 52,889,903,922 : x
  2. Step 2: Convert to fraction form
    24,416,332,530/52,889,903,922 = 52,889,903,922/x
  3. Step 3: Cross multiply
    24,416,332,530x = 52,889,903,922 × 52,889,903,922
  4. Step 4: Simplify right side
    24,416,332,530x = 2,797,341,936,878,391,132,160
  5. Step 5: Solve for x
    x = 2,797,341,936,878,391,132,160/24,416,332,530
  6. Step 6: Final answer
    x = 114,568,473,108.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.