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Finding the Third Proportional to 11,369,851 and 17,493,917

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Solution

The third proportional to 11,369,851 and 17,493,917 is: 26,916,547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369,851 : 17,493,917 = 17,493,917 : x
  2. Step 2: Convert to fraction form
    11,369,851/17,493,917 = 17,493,917/x
  3. Step 3: Cross multiply
    11,369,851x = 17,493,917 × 17,493,917
  4. Step 4: Simplify right side
    11,369,851x = 306,037,132,002,889
  5. Step 5: Solve for x
    x = 306,037,132,002,889/11,369,851
  6. Step 6: Final answer
    x = 26,916,547.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.