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Finding the Third Proportional to 2,764,593,741 and 6,092,699,746

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Solution

The third proportional to 2,764,593,741 and 6,092,699,746 is: 13,427,285,768.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764,593,741 : 6,092,699,746 = 6,092,699,746 : x
  2. Step 2: Convert to fraction form
    2,764,593,741/6,092,699,746 = 6,092,699,746/x
  3. Step 3: Cross multiply
    2,764,593,741x = 6,092,699,746 × 6,092,699,746
  4. Step 4: Simplify right side
    2,764,593,741x = 37,120,990,194,908,463,104
  5. Step 5: Solve for x
    x = 37,120,990,194,908,463,104/2,764,593,741
  6. Step 6: Final answer
    x = 13,427,285,768.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.