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Finding the Third Proportional to 5,986,564,562,364 and 12,290,494,351,992

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Solution

The third proportional to 5,986,564,562,364 and 12,290,494,351,992 is: 25,232,543,613,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986,564,562,364 : 12,290,494,351,992 = 12,290,494,351,992 : x
  2. Step 2: Convert to fraction form
    5,986,564,562,364/12,290,494,351,992 = 12,290,494,351,992/x
  3. Step 3: Cross multiply
    5,986,564,562,364x = 12,290,494,351,992 × 12,290,494,351,992
  4. Step 4: Simplify right side
    5,986,564,562,364x = 151,056,251,416,347,258,648,526,848
  5. Step 5: Solve for x
    x = 151,056,251,416,347,258,648,526,848/5,986,564,562,364
  6. Step 6: Final answer
    x = 25,232,543,613,744.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.