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Finding the Third Proportional to 8,487,173,555 and 17,853,874,583

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Solution

The third proportional to 8,487,173,555 and 17,853,874,583 is: 37,557,949,717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,487,173,555 : 17,853,874,583 = 17,853,874,583 : x
  2. Step 2: Convert to fraction form
    8,487,173,555/17,853,874,583 = 17,853,874,583/x
  3. Step 3: Cross multiply
    8,487,173,555x = 17,853,874,583 × 17,853,874,583
  4. Step 4: Simplify right side
    8,487,173,555x = 318,760,837,625,493,454,848
  5. Step 5: Solve for x
    x = 318,760,837,625,493,454,848/8,487,173,555
  6. Step 6: Final answer
    x = 37,557,949,717.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.