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Finding the Third Proportional to 792,269,523,987 and 1,716,096,332,892

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Solution

The third proportional to 792,269,523,987 and 1,716,096,332,892 is: 3,717,152,477,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,269,523,987 : 1,716,096,332,892 = 1,716,096,332,892 : x
  2. Step 2: Convert to fraction form
    792,269,523,987/1,716,096,332,892 = 1,716,096,332,892/x
  3. Step 3: Cross multiply
    792,269,523,987x = 1,716,096,332,892 × 1,716,096,332,892
  4. Step 4: Simplify right side
    792,269,523,987x = 2,944,986,623,765,370,047,037,440
  5. Step 5: Solve for x
    x = 2,944,986,623,765,370,047,037,440/792,269,523,987
  6. Step 6: Final answer
    x = 3,717,152,477,284.60

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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.