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Finding the Third Proportional to 1,325,429,450 and 1,976,650,206

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Solution

The third proportional to 1,325,429,450 and 1,976,650,206 is: 2,947,834,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325,429,450 : 1,976,650,206 = 1,976,650,206 : x
  2. Step 2: Convert to fraction form
    1,325,429,450/1,976,650,206 = 1,976,650,206/x
  3. Step 3: Cross multiply
    1,325,429,450x = 1,976,650,206 × 1,976,650,206
  4. Step 4: Simplify right side
    1,325,429,450x = 3,907,146,036,879,842,304
  5. Step 5: Solve for x
    x = 3,907,146,036,879,842,304/1,325,429,450
  6. Step 6: Final answer
    x = 2,947,834,029.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.