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Finding the Third Proportional to 827,077,848,918.96 and 1,770,340,477,188.60

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Solution

The third proportional to 827,077,848,918.96 and 1,770,340,477,188.60 is: 3,789,371,713,036.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,077,848,918.96 : 1,770,340,477,188.60 = 1,770,340,477,188.60 : x
  2. Step 2: Convert to fraction form
    827,077,848,918.96/1,770,340,477,188.60 = 1,770,340,477,188.60/x
  3. Step 3: Cross multiply
    827,077,848,918.96x = 1,770,340,477,188.60 × 1,770,340,477,188.60
  4. Step 4: Simplify right side
    827,077,848,918.96x = 3,134,105,405,172,360,245,411,840
  5. Step 5: Solve for x
    x = 3,134,105,405,172,360,245,411,840/827,077,848,918.96
  6. Step 6: Final answer
    x = 3,789,371,713,036.23

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