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Finding the Third Proportional to 1,976,449,725 and 2,634,956,616

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Solution

The third proportional to 1,976,449,725 and 2,634,956,616 is: 3,512,862,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976,449,725 : 2,634,956,616 = 2,634,956,616 : x
  2. Step 2: Convert to fraction form
    1,976,449,725/2,634,956,616 = 2,634,956,616/x
  3. Step 3: Cross multiply
    1,976,449,725x = 2,634,956,616 × 2,634,956,616
  4. Step 4: Simplify right side
    1,976,449,725x = 6,942,996,368,202,171,392
  5. Step 5: Solve for x
    x = 6,942,996,368,202,171,392/1,976,449,725
  6. Step 6: Final answer
    x = 3,512,862,624.52

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.