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Finding the Third Proportional to 11,481,844 and 17,778,438

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Solution

The third proportional to 11,481,844 and 17,778,438 is: 27,528,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481,844 : 17,778,438 = 17,778,438 : x
  2. Step 2: Convert to fraction form
    11,481,844/17,778,438 = 17,778,438/x
  3. Step 3: Cross multiply
    11,481,844x = 17,778,438 × 17,778,438
  4. Step 4: Simplify right side
    11,481,844x = 316,072,857,719,844
  5. Step 5: Solve for x
    x = 316,072,857,719,844/11,481,844
  6. Step 6: Final answer
    x = 27,528,057.14

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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.