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Finding the Third Proportional to 2,837,699,736 and 6,630,147,310

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Solution

The third proportional to 2,837,699,736 and 6,630,147,310 is: 15,491,016,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837,699,736 : 6,630,147,310 = 6,630,147,310 : x
  2. Step 2: Convert to fraction form
    2,837,699,736/6,630,147,310 = 6,630,147,310/x
  3. Step 3: Cross multiply
    2,837,699,736x = 6,630,147,310 × 6,630,147,310
  4. Step 4: Simplify right side
    2,837,699,736x = 43,958,853,352,300,232,704
  5. Step 5: Solve for x
    x = 43,958,853,352,300,232,704/2,837,699,736
  6. Step 6: Final answer
    x = 15,491,016,471.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.