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Finding the Third Proportional to 338,372,518,648 and 511,917,834,201

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Solution

The third proportional to 338,372,518,648 and 511,917,834,201 is: 774,471,490,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,372,518,648 : 511,917,834,201 = 511,917,834,201 : x
  2. Step 2: Convert to fraction form
    338,372,518,648/511,917,834,201 = 511,917,834,201/x
  3. Step 3: Cross multiply
    338,372,518,648x = 511,917,834,201 × 511,917,834,201
  4. Step 4: Simplify right side
    338,372,518,648x = 262,059,868,973,042,510,069,760
  5. Step 5: Solve for x
    x = 262,059,868,973,042,510,069,760/338,372,518,648
  6. Step 6: Final answer
    x = 774,471,490,829.48

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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.