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Finding the Third Proportional to 59,515,445,901 and 128,498,505,846

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Solution

The third proportional to 59,515,445,901 and 128,498,505,846 is: 277,438,331,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,515,445,901 : 128,498,505,846 = 128,498,505,846 : x
  2. Step 2: Convert to fraction form
    59,515,445,901/128,498,505,846 = 128,498,505,846/x
  3. Step 3: Cross multiply
    59,515,445,901x = 128,498,505,846 × 128,498,505,846
  4. Step 4: Simplify right side
    59,515,445,901x = 16,511,866,004,654,497,202,176
  5. Step 5: Solve for x
    x = 16,511,866,004,654,497,202,176/59,515,445,901
  6. Step 6: Final answer
    x = 277,438,331,422.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.