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Finding the Third Proportional to 13,118,517.75 and 20,577,042.75

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Solution

The third proportional to 13,118,517.75 and 20,577,042.75 is: 32,276,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,118,517.75 : 20,577,042.75 = 20,577,042.75 : x
  2. Step 2: Convert to fraction form
    13,118,517.75/20,577,042.75 = 20,577,042.75/x
  3. Step 3: Cross multiply
    13,118,517.75x = 20,577,042.75 × 20,577,042.75
  4. Step 4: Simplify right side
    13,118,517.75x = 423,414,688,335,327.56
  5. Step 5: Solve for x
    x = 423,414,688,335,327.56/13,118,517.75
  6. Step 6: Final answer
    x = 32,276,107.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.