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Finding the Third Proportional to 47,193,374 and 100,944,832

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Solution

The third proportional to 47,193,374 and 100,944,832 is: 215,917,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,193,374 : 100,944,832 = 100,944,832 : x
  2. Step 2: Convert to fraction form
    47,193,374/100,944,832 = 100,944,832/x
  3. Step 3: Cross multiply
    47,193,374x = 100,944,832 × 100,944,832
  4. Step 4: Simplify right side
    47,193,374x = 10,189,859,107,508,224
  5. Step 5: Solve for x
    x = 10,189,859,107,508,224/47,193,374
  6. Step 6: Final answer
    x = 215,917,156.24

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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.