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Finding the Third Proportional to 14,188,901,200 and 19,955,740,226

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Solution

The third proportional to 14,188,901,200 and 19,955,740,226 is: 28,066,413,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188,901,200 : 19,955,740,226 = 19,955,740,226 : x
  2. Step 2: Convert to fraction form
    14,188,901,200/19,955,740,226 = 19,955,740,226/x
  3. Step 3: Cross multiply
    14,188,901,200x = 19,955,740,226 × 19,955,740,226
  4. Step 4: Simplify right side
    14,188,901,200x = 398,231,567,967,594,545,152
  5. Step 5: Solve for x
    x = 398,231,567,967,594,545,152/14,188,901,200
  6. Step 6: Final answer
    x = 28,066,413,484.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.