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Finding the Third Proportional to 13,420,409.06 and 20,653,764.75

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Solution

The third proportional to 13,420,409.06 and 20,653,764.75 is: 31,785,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420,409.06 : 20,653,764.75 = 20,653,764.75 : x
  2. Step 2: Convert to fraction form
    13,420,409.06/20,653,764.75 = 20,653,764.75/x
  3. Step 3: Cross multiply
    13,420,409.06x = 20,653,764.75 × 20,653,764.75
  4. Step 4: Simplify right side
    13,420,409.06x = 426,577,998,348,342.56
  5. Step 5: Solve for x
    x = 426,577,998,348,342.56/13,420,409.06
  6. Step 6: Final answer
    x = 31,785,767.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.