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Finding the Third Proportional to 11,692,509,174.75 and 24,004,873,767.75

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Solution

The third proportional to 11,692,509,174.75 and 24,004,873,767.75 is: 49,282,318,790.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692,509,174.75 : 24,004,873,767.75 = 24,004,873,767.75 : x
  2. Step 2: Convert to fraction form
    11,692,509,174.75/24,004,873,767.75 = 24,004,873,767.75/x
  3. Step 3: Cross multiply
    11,692,509,174.75x = 24,004,873,767.75 × 24,004,873,767.75
  4. Step 4: Simplify right side
    11,692,509,174.75x = 576,233,964,605,612,097,536
  5. Step 5: Solve for x
    x = 576,233,964,605,612,097,536/11,692,509,174.75
  6. Step 6: Final answer
    x = 49,282,318,790.05

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1.5x scale

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.