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Finding the Third Proportional to 11,415,419 and 17,219,897

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Solution

The third proportional to 11,415,419 and 17,219,897 is: 25,975,818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415,419 : 17,219,897 = 17,219,897 : x
  2. Step 2: Convert to fraction form
    11,415,419/17,219,897 = 17,219,897/x
  3. Step 3: Cross multiply
    11,415,419x = 17,219,897 × 17,219,897
  4. Step 4: Simplify right side
    11,415,419x = 296,524,852,690,609
  5. Step 5: Solve for x
    x = 296,524,852,690,609/11,415,419
  6. Step 6: Final answer
    x = 25,975,818.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.