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Finding the Third Proportional to 13,257,774 and 20,960,235

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Solution

The third proportional to 13,257,774 and 20,960,235 is: 33,137,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257,774 : 20,960,235 = 20,960,235 : x
  2. Step 2: Convert to fraction form
    13,257,774/20,960,235 = 20,960,235/x
  3. Step 3: Cross multiply
    13,257,774x = 20,960,235 × 20,960,235
  4. Step 4: Simplify right side
    13,257,774x = 439,331,451,255,225
  5. Step 5: Solve for x
    x = 439,331,451,255,225/13,257,774
  6. Step 6: Final answer
    x = 33,137,648.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.