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Finding the Third Proportional to 221,561,124 and 512,873,886

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Solution

The third proportional to 221,561,124 and 512,873,886 is: 1,187,210,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,561,124 : 512,873,886 = 512,873,886 : x
  2. Step 2: Convert to fraction form
    221,561,124/512,873,886 = 512,873,886/x
  3. Step 3: Cross multiply
    221,561,124x = 512,873,886 × 512,873,886
  4. Step 4: Simplify right side
    221,561,124x = 263,039,622,940,740,992
  5. Step 5: Solve for x
    x = 263,039,622,940,740,992/221,561,124
  6. Step 6: Final answer
    x = 1,187,210,184.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.