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Finding the Third Proportional to 13,257,767 and 20,960,225

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Solution

The third proportional to 13,257,767 and 20,960,225 is: 33,137,634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257,767 : 20,960,225 = 20,960,225 : x
  2. Step 2: Convert to fraction form
    13,257,767/20,960,225 = 20,960,225/x
  3. Step 3: Cross multiply
    13,257,767x = 20,960,225 × 20,960,225
  4. Step 4: Simplify right side
    13,257,767x = 439,331,032,050,625
  5. Step 5: Solve for x
    x = 439,331,032,050,625/13,257,767
  6. Step 6: Final answer
    x = 33,137,634.12

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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.