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Finding the Third Proportional to 7,122,180.50 and 14,496,063.50

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Solution

The third proportional to 7,122,180.50 and 14,496,063.50 is: 29,504,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122,180.50 : 14,496,063.50 = 14,496,063.50 : x
  2. Step 2: Convert to fraction form
    7,122,180.50/14,496,063.50 = 14,496,063.50/x
  3. Step 3: Cross multiply
    7,122,180.50x = 14,496,063.50 × 14,496,063.50
  4. Step 4: Simplify right side
    7,122,180.50x = 210,135,856,996,032.25
  5. Step 5: Solve for x
    x = 210,135,856,996,032.25/7,122,180.50
  6. Step 6: Final answer
    x = 29,504,427.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.