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Finding the Third Proportional to 239,300,452,629 and 518,311,593,954

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Solution

The third proportional to 239,300,452,629 and 518,311,593,954 is: 1,122,634,351,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,300,452,629 : 518,311,593,954 = 518,311,593,954 : x
  2. Step 2: Convert to fraction form
    239,300,452,629/518,311,593,954 = 518,311,593,954/x
  3. Step 3: Cross multiply
    239,300,452,629x = 518,311,593,954 × 518,311,593,954
  4. Step 4: Simplify right side
    239,300,452,629x = 268,646,908,427,136,177,012,736
  5. Step 5: Solve for x
    x = 268,646,908,427,136,177,012,736/239,300,452,629
  6. Step 6: Final answer
    x = 1,122,634,351,401.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.