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Finding the Third Proportional to 11,556,902 and 17,919,653

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Solution

The third proportional to 11,556,902 and 17,919,653 is: 27,785,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556,902 : 17,919,653 = 17,919,653 : x
  2. Step 2: Convert to fraction form
    11,556,902/17,919,653 = 17,919,653/x
  3. Step 3: Cross multiply
    11,556,902x = 17,919,653 × 17,919,653
  4. Step 4: Simplify right side
    11,556,902x = 321,113,963,640,409
  5. Step 5: Solve for x
    x = 321,113,963,640,409/11,556,902
  6. Step 6: Final answer
    x = 27,785,470.85

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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.