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Finding the Third Proportional to 6,519,272.25 and 14,160,462

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Solution

The third proportional to 6,519,272.25 and 14,160,462 is: 30,757,832.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519,272.25 : 14,160,462 = 14,160,462 : x
  2. Step 2: Convert to fraction form
    6,519,272.25/14,160,462 = 14,160,462/x
  3. Step 3: Cross multiply
    6,519,272.25x = 14,160,462 × 14,160,462
  4. Step 4: Simplify right side
    6,519,272.25x = 200,518,684,053,444
  5. Step 5: Solve for x
    x = 200,518,684,053,444/6,519,272.25
  6. Step 6: Final answer
    x = 30,757,832.53

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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.