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Finding the Third Proportional to 764,086,285,406 and 1,635,508,536,264

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Solution

The third proportional to 764,086,285,406 and 1,635,508,536,264 is: 3,500,767,155,860.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,086,285,406 : 1,635,508,536,264 = 1,635,508,536,264 : x
  2. Step 2: Convert to fraction form
    764,086,285,406/1,635,508,536,264 = 1,635,508,536,264/x
  3. Step 3: Cross multiply
    764,086,285,406x = 1,635,508,536,264 × 1,635,508,536,264
  4. Step 4: Simplify right side
    764,086,285,406x = 2,674,888,172,192,411,926,134,784
  5. Step 5: Solve for x
    x = 2,674,888,172,192,411,926,134,784/764,086,285,406
  6. Step 6: Final answer
    x = 3,500,767,155,860.02

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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.