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Finding the Third Proportional to 5,542,162,803 and 11,477,218,311

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Solution

The third proportional to 5,542,162,803 and 11,477,218,311 is: 23,768,074,818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542,162,803 : 11,477,218,311 = 11,477,218,311 : x
  2. Step 2: Convert to fraction form
    5,542,162,803/11,477,218,311 = 11,477,218,311/x
  3. Step 3: Cross multiply
    5,542,162,803x = 11,477,218,311 × 11,477,218,311
  4. Step 4: Simplify right side
    5,542,162,803x = 131,726,540,158,353,686,528
  5. Step 5: Solve for x
    x = 131,726,540,158,353,686,528/5,542,162,803
  6. Step 6: Final answer
    x = 23,768,074,818.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.