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Finding the Third Proportional to 11,214,904.13 and 16,803,647.25

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Solution

The third proportional to 11,214,904.13 and 16,803,647.25 is: 25,177,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214,904.13 : 16,803,647.25 = 16,803,647.25 : x
  2. Step 2: Convert to fraction form
    11,214,904.13/16,803,647.25 = 16,803,647.25/x
  3. Step 3: Cross multiply
    11,214,904.13x = 16,803,647.25 × 16,803,647.25
  4. Step 4: Simplify right side
    11,214,904.13x = 282,362,560,902,432.56
  5. Step 5: Solve for x
    x = 282,362,560,902,432.56/11,214,904.13
  6. Step 6: Final answer
    x = 25,177,438.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.