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Finding the Third Proportional to 4,786,129.50 and 10,245,016.50

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Solution

The third proportional to 4,786,129.50 and 10,245,016.50 is: 21,930,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786,129.50 : 10,245,016.50 = 10,245,016.50 : x
  2. Step 2: Convert to fraction form
    4,786,129.50/10,245,016.50 = 10,245,016.50/x
  3. Step 3: Cross multiply
    4,786,129.50x = 10,245,016.50 × 10,245,016.50
  4. Step 4: Simplify right side
    4,786,129.50x = 104,960,363,085,272.25
  5. Step 5: Solve for x
    x = 104,960,363,085,272.25/4,786,129.50
  6. Step 6: Final answer
    x = 21,930,113.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.