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Finding the Third Proportional to 662,379,580,042 and 1,440,814,916,794

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Solution

The third proportional to 662,379,580,042 and 1,440,814,916,794 is: 3,134,075,516,525.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,379,580,042 : 1,440,814,916,794 = 1,440,814,916,794 : x
  2. Step 2: Convert to fraction form
    662,379,580,042/1,440,814,916,794 = 1,440,814,916,794/x
  3. Step 3: Cross multiply
    662,379,580,042x = 1,440,814,916,794 × 1,440,814,916,794
  4. Step 4: Simplify right side
    662,379,580,042x = 2,075,947,624,456,101,273,010,176
  5. Step 5: Solve for x
    x = 2,075,947,624,456,101,273,010,176/662,379,580,042
  6. Step 6: Final answer
    x = 3,134,075,516,525.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.