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Finding the Third Proportional to 3,986,728,042 and 8,586,856,772

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Solution

The third proportional to 3,986,728,042 and 8,586,856,772 is: 18,494,893,167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986,728,042 : 8,586,856,772 = 8,586,856,772 : x
  2. Step 2: Convert to fraction form
    3,986,728,042/8,586,856,772 = 8,586,856,772/x
  3. Step 3: Cross multiply
    3,986,728,042x = 8,586,856,772 × 8,586,856,772
  4. Step 4: Simplify right side
    3,986,728,042x = 73,734,109,222,842,261,504
  5. Step 5: Solve for x
    x = 73,734,109,222,842,261,504/3,986,728,042
  6. Step 6: Final answer
    x = 18,494,893,167.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.