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Finding the Third Proportional to 41,488,813,308 and 89,270,171,274

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Solution

The third proportional to 41,488,813,308 and 89,270,171,274 is: 192,079,812,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,488,813,308 : 89,270,171,274 = 89,270,171,274 : x
  2. Step 2: Convert to fraction form
    41,488,813,308/89,270,171,274 = 89,270,171,274/x
  3. Step 3: Cross multiply
    41,488,813,308x = 89,270,171,274 × 89,270,171,274
  4. Step 4: Simplify right side
    41,488,813,308x = 7,969,163,479,289,294,749,696
  5. Step 5: Solve for x
    x = 7,969,163,479,289,294,749,696/41,488,813,308
  6. Step 6: Final answer
    x = 192,079,812,457.61

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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.