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Finding the Third Proportional to 365,868,609,216 and 792,519,162,048

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Solution

The third proportional to 365,868,609,216 and 792,519,162,048 is: 1,716,699,947,446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,868,609,216 : 792,519,162,048 = 792,519,162,048 : x
  2. Step 2: Convert to fraction form
    365,868,609,216/792,519,162,048 = 792,519,162,048/x
  3. Step 3: Cross multiply
    365,868,609,216x = 792,519,162,048 × 792,519,162,048
  4. Step 4: Simplify right side
    365,868,609,216x = 628,086,622,213,264,078,012,416
  5. Step 5: Solve for x
    x = 628,086,622,213,264,078,012,416/365,868,609,216
  6. Step 6: Final answer
    x = 1,716,699,947,446.04

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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.