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Finding the Third Proportional to 3,979,616,141 and 8,518,273,772

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Solution

The third proportional to 3,979,616,141 and 8,518,273,772 is: 18,233,162,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979,616,141 : 8,518,273,772 = 8,518,273,772 : x
  2. Step 2: Convert to fraction form
    3,979,616,141/8,518,273,772 = 8,518,273,772/x
  3. Step 3: Cross multiply
    3,979,616,141x = 8,518,273,772 × 8,518,273,772
  4. Step 4: Simplify right side
    3,979,616,141x = 72,560,988,054,743,105,536
  5. Step 5: Solve for x
    x = 72,560,988,054,743,105,536/3,979,616,141
  6. Step 6: Final answer
    x = 18,233,162,567.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.