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Finding the Third Proportional to 5,901,219 and 12,699,244.50

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Solution

The third proportional to 5,901,219 and 12,699,244.50 is: 27,328,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901,219 : 12,699,244.50 = 12,699,244.50 : x
  2. Step 2: Convert to fraction form
    5,901,219/12,699,244.50 = 12,699,244.50/x
  3. Step 3: Cross multiply
    5,901,219x = 12,699,244.50 × 12,699,244.50
  4. Step 4: Simplify right side
    5,901,219x = 161,270,810,870,780.25
  5. Step 5: Solve for x
    x = 161,270,810,870,780.25/5,901,219
  6. Step 6: Final answer
    x = 27,328,389.42

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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.