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Finding the Third Proportional to 11,264,809.50 and 23,126,794.50

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Solution

The third proportional to 11,264,809.50 and 23,126,794.50 is: 47,479,597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264,809.50 : 23,126,794.50 = 23,126,794.50 : x
  2. Step 2: Convert to fraction form
    11,264,809.50/23,126,794.50 = 23,126,794.50/x
  3. Step 3: Cross multiply
    11,264,809.50x = 23,126,794.50 × 23,126,794.50
  4. Step 4: Simplify right side
    11,264,809.50x = 534,848,623,845,230.25
  5. Step 5: Solve for x
    x = 534,848,623,845,230.25/11,264,809.50
  6. Step 6: Final answer
    x = 47,479,597.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.