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Finding the Third Proportional to 11,444,503 and 16,041,817.50

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Solution

The third proportional to 11,444,503 and 16,041,817.50 is: 22,485,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444,503 : 16,041,817.50 = 16,041,817.50 : x
  2. Step 2: Convert to fraction form
    11,444,503/16,041,817.50 = 16,041,817.50/x
  3. Step 3: Cross multiply
    11,444,503x = 16,041,817.50 × 16,041,817.50
  4. Step 4: Simplify right side
    11,444,503x = 257,339,908,703,306.25
  5. Step 5: Solve for x
    x = 257,339,908,703,306.25/11,444,503
  6. Step 6: Final answer
    x = 22,485,896.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.