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Finding the Third Proportional to 11,961,193 and 26,087,233

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Solution

The third proportional to 11,961,193 and 26,087,233 is: 56,895,973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961,193 : 26,087,233 = 26,087,233 : x
  2. Step 2: Convert to fraction form
    11,961,193/26,087,233 = 26,087,233/x
  3. Step 3: Cross multiply
    11,961,193x = 26,087,233 × 26,087,233
  4. Step 4: Simplify right side
    11,961,193x = 680,543,725,596,289
  5. Step 5: Solve for x
    x = 680,543,725,596,289/11,961,193
  6. Step 6: Final answer
    x = 56,895,973.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.