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Finding the Third Proportional to 18,464,427,859.50 and 43,544,251,674

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Solution

The third proportional to 18,464,427,859.50 and 43,544,251,674 is: 102,689,445,255.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,464,427,859.50 : 43,544,251,674 = 43,544,251,674 : x
  2. Step 2: Convert to fraction form
    18,464,427,859.50/43,544,251,674 = 43,544,251,674/x
  3. Step 3: Cross multiply
    18,464,427,859.50x = 43,544,251,674 × 43,544,251,674
  4. Step 4: Simplify right side
    18,464,427,859.50x = 1,896,101,853,848,651,694,080
  5. Step 5: Solve for x
    x = 1,896,101,853,848,651,694,080/18,464,427,859.50
  6. Step 6: Final answer
    x = 102,689,445,255.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.