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Finding the Third Proportional to 1,837,467,724 and 4,032,062,824

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Solution

The third proportional to 1,837,467,724 and 4,032,062,824 is: 8,847,791,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837,467,724 : 4,032,062,824 = 4,032,062,824 : x
  2. Step 2: Convert to fraction form
    1,837,467,724/4,032,062,824 = 4,032,062,824/x
  3. Step 3: Cross multiply
    1,837,467,724x = 4,032,062,824 × 4,032,062,824
  4. Step 4: Simplify right side
    1,837,467,724x = 16,257,530,616,682,854,400
  5. Step 5: Solve for x
    x = 16,257,530,616,682,854,400/1,837,467,724
  6. Step 6: Final answer
    x = 8,847,791,122.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.