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Finding the Third Proportional to 4,145,787 and 8,970,635.25

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Solution

The third proportional to 4,145,787 and 8,970,635.25 is: 19,410,620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145,787 : 8,970,635.25 = 8,970,635.25 : x
  2. Step 2: Convert to fraction form
    4,145,787/8,970,635.25 = 8,970,635.25/x
  3. Step 3: Cross multiply
    4,145,787x = 8,970,635.25 × 8,970,635.25
  4. Step 4: Simplify right side
    4,145,787x = 80,472,296,788,542.56
  5. Step 5: Solve for x
    x = 80,472,296,788,542.56/4,145,787
  6. Step 6: Final answer
    x = 19,410,620.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.