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Finding the Third Proportional to 11,692,509,172 and 24,004,873,761

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Solution

The third proportional to 11,692,509,172 and 24,004,873,761 is: 49,282,318,773.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692,509,172 : 24,004,873,761 = 24,004,873,761 : x
  2. Step 2: Convert to fraction form
    11,692,509,172/24,004,873,761 = 24,004,873,761/x
  3. Step 3: Cross multiply
    11,692,509,172x = 24,004,873,761 × 24,004,873,761
  4. Step 4: Simplify right side
    11,692,509,172x = 576,233,964,281,546,276,864
  5. Step 5: Solve for x
    x = 576,233,964,281,546,276,864/11,692,509,172
  6. Step 6: Final answer
    x = 49,282,318,773.93

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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.