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Finding the Third Proportional to 7,898,760,794 and 16,451,297,332

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Solution

The third proportional to 7,898,760,794 and 16,451,297,332 is: 34,264,258,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898,760,794 : 16,451,297,332 = 16,451,297,332 : x
  2. Step 2: Convert to fraction form
    7,898,760,794/16,451,297,332 = 16,451,297,332/x
  3. Step 3: Cross multiply
    7,898,760,794x = 16,451,297,332 × 16,451,297,332
  4. Step 4: Simplify right side
    7,898,760,794x = 270,645,183,905,870,315,520
  5. Step 5: Solve for x
    x = 270,645,183,905,870,315,520/7,898,760,794
  6. Step 6: Final answer
    x = 34,264,258,782.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.