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Finding the Third Proportional to 5,261,148 and 11,305,521

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Solution

The third proportional to 5,261,148 and 11,305,521 is: 24,294,090.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261,148 : 11,305,521 = 11,305,521 : x
  2. Step 2: Convert to fraction form
    5,261,148/11,305,521 = 11,305,521/x
  3. Step 3: Cross multiply
    5,261,148x = 11,305,521 × 11,305,521
  4. Step 4: Simplify right side
    5,261,148x = 127,814,805,081,441
  5. Step 5: Solve for x
    x = 127,814,805,081,441/5,261,148
  6. Step 6: Final answer
    x = 24,294,090.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.