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Finding the Third Proportional to 11,537,672 and 17,935,812

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Solution

The third proportional to 11,537,672 and 17,935,812 is: 27,881,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537,672 : 17,935,812 = 17,935,812 : x
  2. Step 2: Convert to fraction form
    11,537,672/17,935,812 = 17,935,812/x
  3. Step 3: Cross multiply
    11,537,672x = 17,935,812 × 17,935,812
  4. Step 4: Simplify right side
    11,537,672x = 321,693,352,099,344
  5. Step 5: Solve for x
    x = 321,693,352,099,344/11,537,672
  6. Step 6: Final answer
    x = 27,881,998.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.