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Finding the Third Proportional to 47,956,743 and 103,978,453.50

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Solution

The third proportional to 47,956,743 and 103,978,453.50 is: 225,443,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,956,743 : 103,978,453.50 = 103,978,453.50 : x
  2. Step 2: Convert to fraction form
    47,956,743/103,978,453.50 = 103,978,453.50/x
  3. Step 3: Cross multiply
    47,956,743x = 103,978,453.50 × 103,978,453.50
  4. Step 4: Simplify right side
    47,956,743x = 10,811,518,792,251,662
  5. Step 5: Solve for x
    x = 10,811,518,792,251,662/47,956,743
  6. Step 6: Final answer
    x = 225,443,141.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.