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Finding the Third Proportional to 17,147,846,754 and 36,776,815,848

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Solution

The third proportional to 17,147,846,754 and 36,776,815,848 is: 78,874,870,024.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,147,846,754 : 36,776,815,848 = 36,776,815,848 : x
  2. Step 2: Convert to fraction form
    17,147,846,754/36,776,815,848 = 36,776,815,848/x
  3. Step 3: Cross multiply
    17,147,846,754x = 36,776,815,848 × 36,776,815,848
  4. Step 4: Simplify right side
    17,147,846,754x = 1,352,534,183,917,703,921,664
  5. Step 5: Solve for x
    x = 1,352,534,183,917,703,921,664/17,147,846,754
  6. Step 6: Final answer
    x = 78,874,870,024.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.