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Finding the Third Proportional to 13,222,614 and 19,381,212

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Solution

The third proportional to 13,222,614 and 19,381,212 is: 28,408,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222,614 : 19,381,212 = 19,381,212 : x
  2. Step 2: Convert to fraction form
    13,222,614/19,381,212 = 19,381,212/x
  3. Step 3: Cross multiply
    13,222,614x = 19,381,212 × 19,381,212
  4. Step 4: Simplify right side
    13,222,614x = 375,631,378,588,944
  5. Step 5: Solve for x
    x = 375,631,378,588,944/13,222,614
  6. Step 6: Final answer
    x = 28,408,254.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.