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Finding the Third Proportional to 2,949,918.75 and 6,418,975.50

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Solution

The third proportional to 2,949,918.75 and 6,418,975.50 is: 13,967,586.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949,918.75 : 6,418,975.50 = 6,418,975.50 : x
  2. Step 2: Convert to fraction form
    2,949,918.75/6,418,975.50 = 6,418,975.50/x
  3. Step 3: Cross multiply
    2,949,918.75x = 6,418,975.50 × 6,418,975.50
  4. Step 4: Simplify right side
    2,949,918.75x = 41,203,246,469,600.25
  5. Step 5: Solve for x
    x = 41,203,246,469,600.25/2,949,918.75
  6. Step 6: Final answer
    x = 13,967,586.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.