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Finding the Third Proportional to 10,435,184 and 14,419,110

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Solution

The third proportional to 10,435,184 and 14,419,110 is: 19,924,012.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435,184 : 14,419,110 = 14,419,110 : x
  2. Step 2: Convert to fraction form
    10,435,184/14,419,110 = 14,419,110/x
  3. Step 3: Cross multiply
    10,435,184x = 14,419,110 × 14,419,110
  4. Step 4: Simplify right side
    10,435,184x = 207,910,733,192,100
  5. Step 5: Solve for x
    x = 207,910,733,192,100/10,435,184
  6. Step 6: Final answer
    x = 19,924,012.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.