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Finding the Third Proportional to 7,561,574 and 16,592,812

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Solution

The third proportional to 7,561,574 and 16,592,812 is: 36,410,595.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561,574 : 16,592,812 = 16,592,812 : x
  2. Step 2: Convert to fraction form
    7,561,574/16,592,812 = 16,592,812/x
  3. Step 3: Cross multiply
    7,561,574x = 16,592,812 × 16,592,812
  4. Step 4: Simplify right side
    7,561,574x = 275,321,410,067,344
  5. Step 5: Solve for x
    x = 275,321,410,067,344/7,561,574
  6. Step 6: Final answer
    x = 36,410,595.21

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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.