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Finding the Third Proportional to 7,481,824.50 and 11,276,266.50

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Solution

The third proportional to 7,481,824.50 and 11,276,266.50 is: 16,995,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481,824.50 : 11,276,266.50 = 11,276,266.50 : x
  2. Step 2: Convert to fraction form
    7,481,824.50/11,276,266.50 = 11,276,266.50/x
  3. Step 3: Cross multiply
    7,481,824.50x = 11,276,266.50 × 11,276,266.50
  4. Step 4: Simplify right side
    7,481,824.50x = 127,154,186,179,022.25
  5. Step 5: Solve for x
    x = 127,154,186,179,022.25/7,481,824.50
  6. Step 6: Final answer
    x = 16,995,077.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.