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Finding the Third Proportional to 6,485,256 and 14,078,160

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Solution

The third proportional to 6,485,256 and 14,078,160 is: 30,560,796.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485,256 : 14,078,160 = 14,078,160 : x
  2. Step 2: Convert to fraction form
    6,485,256/14,078,160 = 14,078,160/x
  3. Step 3: Cross multiply
    6,485,256x = 14,078,160 × 14,078,160
  4. Step 4: Simplify right side
    6,485,256x = 198,194,588,985,600
  5. Step 5: Solve for x
    x = 198,194,588,985,600/6,485,256
  6. Step 6: Final answer
    x = 30,560,796.52

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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.