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Finding the Third Proportional to 2,771,894,488 and 6,163,540,874

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Solution

The third proportional to 2,771,894,488 and 6,163,540,874 is: 13,705,152,295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771,894,488 : 6,163,540,874 = 6,163,540,874 : x
  2. Step 2: Convert to fraction form
    2,771,894,488/6,163,540,874 = 6,163,540,874/x
  3. Step 3: Cross multiply
    2,771,894,488x = 6,163,540,874 × 6,163,540,874
  4. Step 4: Simplify right side
    2,771,894,488x = 37,989,236,105,468,682,240
  5. Step 5: Solve for x
    x = 37,989,236,105,468,682,240/2,771,894,488
  6. Step 6: Final answer
    x = 13,705,152,295.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.