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Finding the Third Proportional to 13,120,612.88 and 17,662,941

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Solution

The third proportional to 13,120,612.88 and 17,662,941 is: 23,777,813.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,120,612.88 : 17,662,941 = 17,662,941 : x
  2. Step 2: Convert to fraction form
    13,120,612.88/17,662,941 = 17,662,941/x
  3. Step 3: Cross multiply
    13,120,612.88x = 17,662,941 × 17,662,941
  4. Step 4: Simplify right side
    13,120,612.88x = 311,979,484,769,481
  5. Step 5: Solve for x
    x = 311,979,484,769,481/13,120,612.88
  6. Step 6: Final answer
    x = 23,777,813.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.