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Finding the Third Proportional to 4,599,858,501 and 10,005,659,766

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Solution

The third proportional to 4,599,858,501 and 10,005,659,766 is: 21,764,414,564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599,858,501 : 10,005,659,766 = 10,005,659,766 : x
  2. Step 2: Convert to fraction form
    4,599,858,501/10,005,659,766 = 10,005,659,766/x
  3. Step 3: Cross multiply
    4,599,858,501x = 10,005,659,766 × 10,005,659,766
  4. Step 4: Simplify right side
    4,599,858,501x = 100,113,227,352,951,177,216
  5. Step 5: Solve for x
    x = 100,113,227,352,951,177,216/4,599,858,501
  6. Step 6: Final answer
    x = 21,764,414,564.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.