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Finding the Third Proportional to 11,374,834 and 17,442,438

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Solution

The third proportional to 11,374,834 and 17,442,438 is: 26,746,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374,834 : 17,442,438 = 17,442,438 : x
  2. Step 2: Convert to fraction form
    11,374,834/17,442,438 = 17,442,438/x
  3. Step 3: Cross multiply
    11,374,834x = 17,442,438 × 17,442,438
  4. Step 4: Simplify right side
    11,374,834x = 304,238,643,383,844
  5. Step 5: Solve for x
    x = 304,238,643,383,844/11,374,834
  6. Step 6: Final answer
    x = 26,746,644.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.