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Finding the Third Proportional to 8,284,012,947 and 17,797,504,518

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Solution

The third proportional to 8,284,012,947 and 17,797,504,518 is: 38,236,440,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284,012,947 : 17,797,504,518 = 17,797,504,518 : x
  2. Step 2: Convert to fraction form
    8,284,012,947/17,797,504,518 = 17,797,504,518/x
  3. Step 3: Cross multiply
    8,284,012,947x = 17,797,504,518 × 17,797,504,518
  4. Step 4: Simplify right side
    8,284,012,947x = 316,751,167,068,230,385,664
  5. Step 5: Solve for x
    x = 316,751,167,068,230,385,664/8,284,012,947
  6. Step 6: Final answer
    x = 38,236,440,369.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.