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Finding the Third Proportional to 6,059,584 and 12,958,975

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Solution

The third proportional to 6,059,584 and 12,958,975 is: 27,713,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059,584 : 12,958,975 = 12,958,975 : x
  2. Step 2: Convert to fraction form
    6,059,584/12,958,975 = 12,958,975/x
  3. Step 3: Cross multiply
    6,059,584x = 12,958,975 × 12,958,975
  4. Step 4: Simplify right side
    6,059,584x = 167,935,033,050,625
  5. Step 5: Solve for x
    x = 167,935,033,050,625/6,059,584
  6. Step 6: Final answer
    x = 27,713,954.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.