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Finding the Third Proportional to 6,485,292 and 14,078,232

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Solution

The third proportional to 6,485,292 and 14,078,232 is: 30,560,939.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485,292 : 14,078,232 = 14,078,232 : x
  2. Step 2: Convert to fraction form
    6,485,292/14,078,232 = 14,078,232/x
  3. Step 3: Cross multiply
    6,485,292x = 14,078,232 × 14,078,232
  4. Step 4: Simplify right side
    6,485,292x = 198,196,616,245,824
  5. Step 5: Solve for x
    x = 198,196,616,245,824/6,485,292
  6. Step 6: Final answer
    x = 30,560,939.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.