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Finding the Third Proportional to 2,447,398.69 and 5,186,546.44

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Solution

The third proportional to 2,447,398.69 and 5,186,546.44 is: 10,991,369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447,398.69 : 5,186,546.44 = 5,186,546.44 : x
  2. Step 2: Convert to fraction form
    2,447,398.69/5,186,546.44 = 5,186,546.44/x
  3. Step 3: Cross multiply
    2,447,398.69x = 5,186,546.44 × 5,186,546.44
  4. Step 4: Simplify right side
    2,447,398.69x = 26,900,263,948,343.94
  5. Step 5: Solve for x
    x = 26,900,263,948,343.94/2,447,398.69
  6. Step 6: Final answer
    x = 10,991,369.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.