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Finding the Third Proportional to 14,188,901,901 and 19,955,741,184

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Solution

The third proportional to 14,188,901,901 and 19,955,741,184 is: 28,066,414,792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188,901,901 : 19,955,741,184 = 19,955,741,184 : x
  2. Step 2: Convert to fraction form
    14,188,901,901/19,955,741,184 = 19,955,741,184/x
  3. Step 3: Cross multiply
    14,188,901,901x = 19,955,741,184 × 19,955,741,184
  4. Step 4: Simplify right side
    14,188,901,901x = 398,231,606,202,793,721,856
  5. Step 5: Solve for x
    x = 398,231,606,202,793,721,856/14,188,901,901
  6. Step 6: Final answer
    x = 28,066,414,792.45

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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.