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Finding the Third Proportional to 792,269,523,983 and 1,716,096,332,884

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Solution

The third proportional to 792,269,523,983 and 1,716,096,332,884 is: 3,717,152,477,268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,269,523,983 : 1,716,096,332,884 = 1,716,096,332,884 : x
  2. Step 2: Convert to fraction form
    792,269,523,983/1,716,096,332,884 = 1,716,096,332,884/x
  3. Step 3: Cross multiply
    792,269,523,983x = 1,716,096,332,884 × 1,716,096,332,884
  4. Step 4: Simplify right side
    792,269,523,983x = 2,944,986,623,737,912,321,114,112
  5. Step 5: Solve for x
    x = 2,944,986,623,737,912,321,114,112/792,269,523,983
  6. Step 6: Final answer
    x = 3,717,152,477,268.71

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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.