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Finding the Third Proportional to 764,086,285,414 and 1,635,508,536,278

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Solution

The third proportional to 764,086,285,414 and 1,635,508,536,278 is: 3,500,767,155,883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,086,285,414 : 1,635,508,536,278 = 1,635,508,536,278 : x
  2. Step 2: Convert to fraction form
    764,086,285,414/1,635,508,536,278 = 1,635,508,536,278/x
  3. Step 3: Cross multiply
    764,086,285,414x = 1,635,508,536,278 × 1,635,508,536,278
  4. Step 4: Simplify right side
    764,086,285,414x = 2,674,888,172,238,205,941,186,560
  5. Step 5: Solve for x
    x = 2,674,888,172,238,205,941,186,560/764,086,285,414
  6. Step 6: Final answer
    x = 3,500,767,155,883.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.