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Finding the Third Proportional to 47,174,950 and 100,908,035

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Solution

The third proportional to 47,174,950 and 100,908,035 is: 215,844,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,174,950 : 100,908,035 = 100,908,035 : x
  2. Step 2: Convert to fraction form
    47,174,950/100,908,035 = 100,908,035/x
  3. Step 3: Cross multiply
    47,174,950x = 100,908,035 × 100,908,035
  4. Step 4: Simplify right side
    47,174,950x = 10,182,431,527,561,224
  5. Step 5: Solve for x
    x = 10,182,431,527,561,224/47,174,950
  6. Step 6: Final answer
    x = 215,844,034.34

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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.