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Finding the Third Proportional to 4,850,604 and 8,083,851.75

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Solution

The third proportional to 4,850,604 and 8,083,851.75 is: 13,472,272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,850,604 : 8,083,851.75 = 8,083,851.75 : x
  2. Step 2: Convert to fraction form
    4,850,604/8,083,851.75 = 8,083,851.75/x
  3. Step 3: Cross multiply
    4,850,604x = 8,083,851.75 × 8,083,851.75
  4. Step 4: Simplify right side
    4,850,604x = 65,348,659,115,978.06
  5. Step 5: Solve for x
    x = 65,348,659,115,978.06/4,850,604
  6. Step 6: Final answer
    x = 13,472,272.55

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.