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Finding the Third Proportional to 269,063,602,516 and 378,419,954,450

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Solution

The third proportional to 269,063,602,516 and 378,419,954,450 is: 532,222,346,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,063,602,516 : 378,419,954,450 = 378,419,954,450 : x
  2. Step 2: Convert to fraction form
    269,063,602,516/378,419,954,450 = 378,419,954,450/x
  3. Step 3: Cross multiply
    269,063,602,516x = 378,419,954,450 × 378,419,954,450
  4. Step 4: Simplify right side
    269,063,602,516x = 143,201,661,925,940,080,410,624
  5. Step 5: Solve for x
    x = 143,201,661,925,940,080,410,624/269,063,602,516
  6. Step 6: Final answer
    x = 532,222,346,638.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.