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Finding the Third Proportional to 6,987,075 and 15,277,542

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Solution

The third proportional to 6,987,075 and 15,277,542 is: 33,405,007.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987,075 : 15,277,542 = 15,277,542 : x
  2. Step 2: Convert to fraction form
    6,987,075/15,277,542 = 15,277,542/x
  3. Step 3: Cross multiply
    6,987,075x = 15,277,542 × 15,277,542
  4. Step 4: Simplify right side
    6,987,075x = 233,403,289,561,764
  5. Step 5: Solve for x
    x = 233,403,289,561,764/6,987,075
  6. Step 6: Final answer
    x = 33,405,007.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.