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Finding the Third Proportional to 47,193,370 and 100,944,824

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Solution

The third proportional to 47,193,370 and 100,944,824 is: 215,917,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,193,370 : 100,944,824 = 100,944,824 : x
  2. Step 2: Convert to fraction form
    47,193,370/100,944,824 = 100,944,824/x
  3. Step 3: Cross multiply
    47,193,370x = 100,944,824 × 100,944,824
  4. Step 4: Simplify right side
    47,193,370x = 10,189,857,492,390,976
  5. Step 5: Solve for x
    x = 10,189,857,492,390,976/47,193,370
  6. Step 6: Final answer
    x = 215,917,140.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.