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Finding the Third Proportional to 338,372,518,646 and 511,917,834,198

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Solution

The third proportional to 338,372,518,646 and 511,917,834,198 is: 774,471,490,824.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,372,518,646 : 511,917,834,198 = 511,917,834,198 : x
  2. Step 2: Convert to fraction form
    338,372,518,646/511,917,834,198 = 511,917,834,198/x
  3. Step 3: Cross multiply
    338,372,518,646x = 511,917,834,198 × 511,917,834,198
  4. Step 4: Simplify right side
    338,372,518,646x = 262,059,868,969,971,004,473,344
  5. Step 5: Solve for x
    x = 262,059,868,969,971,004,473,344/338,372,518,646
  6. Step 6: Final answer
    x = 774,471,490,824.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.