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Finding the Third Proportional to 764,086,285,404 and 1,635,508,536,258

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Solution

The third proportional to 764,086,285,404 and 1,635,508,536,258 is: 3,500,767,155,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,086,285,404 : 1,635,508,536,258 = 1,635,508,536,258 : x
  2. Step 2: Convert to fraction form
    764,086,285,404/1,635,508,536,258 = 1,635,508,536,258/x
  3. Step 3: Cross multiply
    764,086,285,404x = 1,635,508,536,258 × 1,635,508,536,258
  4. Step 4: Simplify right side
    764,086,285,404x = 2,674,888,172,172,785,536,204,800
  5. Step 5: Solve for x
    x = 2,674,888,172,172,785,536,204,800/764,086,285,404
  6. Step 6: Final answer
    x = 3,500,767,155,843.50

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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.