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Finding the Third Proportional to 968,694,621,576 and 2,075,560,302,762

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Solution

The third proportional to 968,694,621,576 and 2,075,560,302,762 is: 4,447,170,939,581.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,694,621,576 : 2,075,560,302,762 = 2,075,560,302,762 : x
  2. Step 2: Convert to fraction form
    968,694,621,576/2,075,560,302,762 = 2,075,560,302,762/x
  3. Step 3: Cross multiply
    968,694,621,576x = 2,075,560,302,762 × 2,075,560,302,762
  4. Step 4: Simplify right side
    968,694,621,576x = 4,307,950,570,401,485,272,645,632
  5. Step 5: Solve for x
    x = 4,307,950,570,401,485,272,645,632/968,694,621,576
  6. Step 6: Final answer
    x = 4,447,170,939,581.29

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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.