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Finding the Third Proportional to 1,206,389,112 and 2,603,322,787.50

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Solution

The third proportional to 1,206,389,112 and 2,603,322,787.50 is: 5,617,830,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,389,112 : 2,603,322,787.50 = 2,603,322,787.50 : x
  2. Step 2: Convert to fraction form
    1,206,389,112/2,603,322,787.50 = 2,603,322,787.50/x
  3. Step 3: Cross multiply
    1,206,389,112x = 2,603,322,787.50 × 2,603,322,787.50
  4. Step 4: Simplify right side
    1,206,389,112x = 6,777,289,535,916,770,304
  5. Step 5: Solve for x
    x = 6,777,289,535,916,770,304/1,206,389,112
  6. Step 6: Final answer
    x = 5,617,830,489.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.