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Finding the Third Proportional to 7,561,576 and 16,592,816

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Solution

The third proportional to 7,561,576 and 16,592,816 is: 36,410,603.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561,576 : 16,592,816 = 16,592,816 : x
  2. Step 2: Convert to fraction form
    7,561,576/16,592,816 = 16,592,816/x
  3. Step 3: Cross multiply
    7,561,576x = 16,592,816 × 16,592,816
  4. Step 4: Simplify right side
    7,561,576x = 275,321,542,809,856
  5. Step 5: Solve for x
    x = 275,321,542,809,856/7,561,576
  6. Step 6: Final answer
    x = 36,410,603.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.