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Finding the Third Proportional to 8,382,751,992 and 17,011,826,887

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Solution

The third proportional to 8,382,751,992 and 17,011,826,887 is: 34,523,537,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382,751,992 : 17,011,826,887 = 17,011,826,887 : x
  2. Step 2: Convert to fraction form
    8,382,751,992/17,011,826,887 = 17,011,826,887/x
  3. Step 3: Cross multiply
    8,382,751,992x = 17,011,826,887 × 17,011,826,887
  4. Step 4: Simplify right side
    8,382,751,992x = 289,402,254,033,256,120,320
  5. Step 5: Solve for x
    x = 289,402,254,033,256,120,320/8,382,751,992
  6. Step 6: Final answer
    x = 34,523,537,653.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.