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Finding the Third Proportional to 455,642,286 and 994,082,382

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Solution

The third proportional to 455,642,286 and 994,082,382 is: 2,168,806,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,642,286 : 994,082,382 = 994,082,382 : x
  2. Step 2: Convert to fraction form
    455,642,286/994,082,382 = 994,082,382/x
  3. Step 3: Cross multiply
    455,642,286x = 994,082,382 × 994,082,382
  4. Step 4: Simplify right side
    455,642,286x = 988,199,782,202,793,984
  5. Step 5: Solve for x
    x = 988,199,782,202,793,984/455,642,286
  6. Step 6: Final answer
    x = 2,168,806,128.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.