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Finding the Third Proportional to 3,725,050,968 and 8,111,450,736

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Solution

The third proportional to 3,725,050,968 and 8,111,450,736 is: 17,663,015,515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725,050,968 : 8,111,450,736 = 8,111,450,736 : x
  2. Step 2: Convert to fraction form
    3,725,050,968/8,111,450,736 = 8,111,450,736/x
  3. Step 3: Cross multiply
    3,725,050,968x = 8,111,450,736 × 8,111,450,736
  4. Step 4: Simplify right side
    3,725,050,968x = 65,795,633,042,554,945,536
  5. Step 5: Solve for x
    x = 65,795,633,042,554,945,536/3,725,050,968
  6. Step 6: Final answer
    x = 17,663,015,515.16

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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.