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Finding the Third Proportional to 3,730,936 and 8,157,824

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Solution

The third proportional to 3,730,936 and 8,157,824 is: 17,837,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730,936 : 8,157,824 = 8,157,824 : x
  2. Step 2: Convert to fraction form
    3,730,936/8,157,824 = 8,157,824/x
  3. Step 3: Cross multiply
    3,730,936x = 8,157,824 × 8,157,824
  4. Step 4: Simplify right side
    3,730,936x = 66,550,092,414,976
  5. Step 5: Solve for x
    x = 66,550,092,414,976/3,730,936
  6. Step 6: Final answer
    x = 17,837,371.75

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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.