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Finding the Third Proportional to 1,911,302,667,813 and 4,095,228,289,740

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Solution

The third proportional to 1,911,302,667,813 and 4,095,228,289,740 is: 8,774,588,675,835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911,302,667,813 : 4,095,228,289,740 = 4,095,228,289,740 : x
  2. Step 2: Convert to fraction form
    1,911,302,667,813/4,095,228,289,740 = 4,095,228,289,740/x
  3. Step 3: Cross multiply
    1,911,302,667,813x = 4,095,228,289,740 × 4,095,228,289,740
  4. Step 4: Simplify right side
    1,911,302,667,813x = 16,770,894,745,086,804,474,462,208
  5. Step 5: Solve for x
    x = 16,770,894,745,086,804,474,462,208/1,911,302,667,813
  6. Step 6: Final answer
    x = 8,774,588,675,835.85

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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.