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Finding the Third Proportional to 26,422,824 and 37,209,324

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Solution

The third proportional to 26,422,824 and 37,209,324 is: 52,399,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,422,824 : 37,209,324 = 37,209,324 : x
  2. Step 2: Convert to fraction form
    26,422,824/37,209,324 = 37,209,324/x
  3. Step 3: Cross multiply
    26,422,824x = 37,209,324 × 37,209,324
  4. Step 4: Simplify right side
    26,422,824x = 1,384,533,792,536,976
  5. Step 5: Solve for x
    x = 1,384,533,792,536,976/26,422,824
  6. Step 6: Final answer
    x = 52,399,160.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.