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Finding the Third Proportional to 1,633,410,218 and 2,510,668,503

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Solution

The third proportional to 1,633,410,218 and 2,510,668,503 is: 3,859,077,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633,410,218 : 2,510,668,503 = 2,510,668,503 : x
  2. Step 2: Convert to fraction form
    1,633,410,218/2,510,668,503 = 2,510,668,503/x
  3. Step 3: Cross multiply
    1,633,410,218x = 2,510,668,503 × 2,510,668,503
  4. Step 4: Simplify right side
    1,633,410,218x = 6,303,456,331,956,260,864
  5. Step 5: Solve for x
    x = 6,303,456,331,956,260,864/1,633,410,218
  6. Step 6: Final answer
    x = 3,859,077,323.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.