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Finding the Third Proportional to 11,419,841,138 and 17,457,992,134

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Solution

The third proportional to 11,419,841,138 and 17,457,992,134 is: 26,688,767,879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419,841,138 : 17,457,992,134 = 17,457,992,134 : x
  2. Step 2: Convert to fraction form
    11,419,841,138/17,457,992,134 = 17,457,992,134/x
  3. Step 3: Cross multiply
    11,419,841,138x = 17,457,992,134 × 17,457,992,134
  4. Step 4: Simplify right side
    11,419,841,138x = 304,781,489,350,805,880,832
  5. Step 5: Solve for x
    x = 304,781,489,350,805,880,832/11,419,841,138
  6. Step 6: Final answer
    x = 26,688,767,879.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.