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Finding the Third Proportional to 2,167,662.75 and 5,019,662.25

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Solution

The third proportional to 2,167,662.75 and 5,019,662.25 is: 11,624,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167,662.75 : 5,019,662.25 = 5,019,662.25 : x
  2. Step 2: Convert to fraction form
    2,167,662.75/5,019,662.25 = 5,019,662.25/x
  3. Step 3: Cross multiply
    2,167,662.75x = 5,019,662.25 × 5,019,662.25
  4. Step 4: Simplify right side
    2,167,662.75x = 25,197,009,104,075.06
  5. Step 5: Solve for x
    x = 25,197,009,104,075.06/2,167,662.75
  6. Step 6: Final answer
    x = 11,624,044.89

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.