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Finding the Third Proportional to 4,357,253,861,016 and 9,535,322,598,166

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Solution

The third proportional to 4,357,253,861,016 and 9,535,322,598,166 is: 20,866,899,187,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357,253,861,016 : 9,535,322,598,166 = 9,535,322,598,166 : x
  2. Step 2: Convert to fraction form
    4,357,253,861,016/9,535,322,598,166 = 9,535,322,598,166/x
  3. Step 3: Cross multiply
    4,357,253,861,016x = 9,535,322,598,166 × 9,535,322,598,166
  4. Step 4: Simplify right side
    4,357,253,861,016x = 90,922,377,051,095,199,089,950,720
  5. Step 5: Solve for x
    x = 90,922,377,051,095,199,089,950,720/4,357,253,861,016
  6. Step 6: Final answer
    x = 20,866,899,187,254.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.