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Finding the Third Proportional to 5,412,316 and 11,895,992

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Solution

The third proportional to 5,412,316 and 11,895,992 is: 26,146,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412,316 : 11,895,992 = 11,895,992 : x
  2. Step 2: Convert to fraction form
    5,412,316/11,895,992 = 11,895,992/x
  3. Step 3: Cross multiply
    5,412,316x = 11,895,992 × 11,895,992
  4. Step 4: Simplify right side
    5,412,316x = 141,514,625,664,064
  5. Step 5: Solve for x
    x = 141,514,625,664,064/5,412,316
  6. Step 6: Final answer
    x = 26,146,778.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.