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Finding the Third Proportional to 7,368,083,676 and 16,027,131,794.63

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Solution

The third proportional to 7,368,083,676 and 16,027,131,794.63 is: 34,862,382,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,368,083,676 : 16,027,131,794.63 = 16,027,131,794.63 : x
  2. Step 2: Convert to fraction form
    7,368,083,676/16,027,131,794.63 = 16,027,131,794.63/x
  3. Step 3: Cross multiply
    7,368,083,676x = 16,027,131,794.63 × 16,027,131,794.63
  4. Step 4: Simplify right side
    7,368,083,676x = 256,868,953,562,279,575,552
  5. Step 5: Solve for x
    x = 256,868,953,562,279,575,552/7,368,083,676
  6. Step 6: Final answer
    x = 34,862,382,792.83

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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.