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Finding the Third Proportional to 338,372,518,644 and 511,917,834,195

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Solution

The third proportional to 338,372,518,644 and 511,917,834,195 is: 774,471,490,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,372,518,644 : 511,917,834,195 = 511,917,834,195 : x
  2. Step 2: Convert to fraction form
    338,372,518,644/511,917,834,195 = 511,917,834,195/x
  3. Step 3: Cross multiply
    338,372,518,644x = 511,917,834,195 × 511,917,834,195
  4. Step 4: Simplify right side
    338,372,518,644x = 262,059,868,966,899,498,876,928
  5. Step 5: Solve for x
    x = 262,059,868,966,899,498,876,928/338,372,518,644
  6. Step 6: Final answer
    x = 774,471,490,820.48

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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.