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Finding the Third Proportional to 968,694,621,480 and 2,075,560,302,555

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Solution

The third proportional to 968,694,621,480 and 2,075,560,302,555 is: 4,447,170,939,134.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,694,621,480 : 2,075,560,302,555 = 2,075,560,302,555 : x
  2. Step 2: Convert to fraction form
    968,694,621,480/2,075,560,302,555 = 2,075,560,302,555/x
  3. Step 3: Cross multiply
    968,694,621,480x = 2,075,560,302,555 × 2,075,560,302,555
  4. Step 4: Simplify right side
    968,694,621,480x = 4,307,950,569,542,202,976,894,976
  5. Step 5: Solve for x
    x = 4,307,950,569,542,202,976,894,976/968,694,621,480
  6. Step 6: Final answer
    x = 4,447,170,939,134.97

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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.