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Finding the Third Proportional to 2,473,132.50 and 5,211,945

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Solution

The third proportional to 2,473,132.50 and 5,211,945 is: 10,983,791.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,132.50 : 5,211,945 = 5,211,945 : x
  2. Step 2: Convert to fraction form
    2,473,132.50/5,211,945 = 5,211,945/x
  3. Step 3: Cross multiply
    2,473,132.50x = 5,211,945 × 5,211,945
  4. Step 4: Simplify right side
    2,473,132.50x = 27,164,370,683,025
  5. Step 5: Solve for x
    x = 27,164,370,683,025/2,473,132.50
  6. Step 6: Final answer
    x = 10,983,791.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.