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Finding the Third Proportional to 241,079,856 and 523,257,816

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Solution

The third proportional to 241,079,856 and 523,257,816 is: 1,135,718,041.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,079,856 : 523,257,816 = 523,257,816 : x
  2. Step 2: Convert to fraction form
    241,079,856/523,257,816 = 523,257,816/x
  3. Step 3: Cross multiply
    241,079,856x = 523,257,816 × 523,257,816
  4. Step 4: Simplify right side
    241,079,856x = 273,798,742,005,089,856
  5. Step 5: Solve for x
    x = 273,798,742,005,089,856/241,079,856
  6. Step 6: Final answer
    x = 1,135,718,041.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.