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Finding the Third Proportional to 47,982,069 and 103,609,764

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Solution

The third proportional to 47,982,069 and 103,609,764 is: 223,729,060.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,982,069 : 103,609,764 = 103,609,764 : x
  2. Step 2: Convert to fraction form
    47,982,069/103,609,764 = 103,609,764/x
  3. Step 3: Cross multiply
    47,982,069x = 103,609,764 × 103,609,764
  4. Step 4: Simplify right side
    47,982,069x = 10,734,983,196,135,696
  5. Step 5: Solve for x
    x = 10,734,983,196,135,696/47,982,069
  6. Step 6: Final answer
    x = 223,729,060.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.