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Finding the Third Proportional to 17,219,412,013 and 26,735,716,243

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Solution

The third proportional to 17,219,412,013 and 26,735,716,243 is: 41,511,203,895.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,219,412,013 : 26,735,716,243 = 26,735,716,243 : x
  2. Step 2: Convert to fraction form
    17,219,412,013/26,735,716,243 = 26,735,716,243/x
  3. Step 3: Cross multiply
    17,219,412,013x = 26,735,716,243 × 26,735,716,243
  4. Step 4: Simplify right side
    17,219,412,013x = 714,798,523,026,214,092,800
  5. Step 5: Solve for x
    x = 714,798,523,026,214,092,800/17,219,412,013
  6. Step 6: Final answer
    x = 41,511,203,895.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.