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Finding the Third Proportional to 792,269,523,981 and 1,716,096,332,880

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Solution

The third proportional to 792,269,523,981 and 1,716,096,332,880 is: 3,717,152,477,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,269,523,981 : 1,716,096,332,880 = 1,716,096,332,880 : x
  2. Step 2: Convert to fraction form
    792,269,523,981/1,716,096,332,880 = 1,716,096,332,880/x
  3. Step 3: Cross multiply
    792,269,523,981x = 1,716,096,332,880 × 1,716,096,332,880
  4. Step 4: Simplify right side
    792,269,523,981x = 2,944,986,623,724,183,995,023,360
  5. Step 5: Solve for x
    x = 2,944,986,623,724,183,995,023,360/792,269,523,981
  6. Step 6: Final answer
    x = 3,717,152,477,260.77

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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.