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Finding the Third Proportional to 47,573,760 and 75,614,112

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Solution

The third proportional to 47,573,760 and 75,614,112 is: 120,181,670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,573,760 : 75,614,112 = 75,614,112 : x
  2. Step 2: Convert to fraction form
    47,573,760/75,614,112 = 75,614,112/x
  3. Step 3: Cross multiply
    47,573,760x = 75,614,112 × 75,614,112
  4. Step 4: Simplify right side
    47,573,760x = 5,717,493,933,548,544
  5. Step 5: Solve for x
    x = 5,717,493,933,548,544/47,573,760
  6. Step 6: Final answer
    x = 120,181,670.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.