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Finding the Third Proportional to 207,269,999,844 and 318,447,446,874

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Solution

The third proportional to 207,269,999,844 and 318,447,446,874 is: 489,259,306,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,269,999,844 : 318,447,446,874 = 318,447,446,874 : x
  2. Step 2: Convert to fraction form
    207,269,999,844/318,447,446,874 = 318,447,446,874/x
  3. Step 3: Cross multiply
    207,269,999,844x = 318,447,446,874 × 318,447,446,874
  4. Step 4: Simplify right side
    207,269,999,844x = 101,408,776,420,569,049,464,832
  5. Step 5: Solve for x
    x = 101,408,776,420,569,049,464,832/207,269,999,844
  6. Step 6: Final answer
    x = 489,259,306,686.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.