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Finding the Third Proportional to 27,824,632 and 38,448,378

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Solution

The third proportional to 27,824,632 and 38,448,378 is: 53,128,385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824,632 : 38,448,378 = 38,448,378 : x
  2. Step 2: Convert to fraction form
    27,824,632/38,448,378 = 38,448,378/x
  3. Step 3: Cross multiply
    27,824,632x = 38,448,378 × 38,448,378
  4. Step 4: Simplify right side
    27,824,632x = 1,478,277,770,830,884
  5. Step 5: Solve for x
    x = 1,478,277,770,830,884/27,824,632
  6. Step 6: Final answer
    x = 53,128,385.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.