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Finding the Third Proportional to 34,100,069 and 73,051,978

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Solution

The third proportional to 34,100,069 and 73,051,978 is: 156,497,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,100,069 : 73,051,978 = 73,051,978 : x
  2. Step 2: Convert to fraction form
    34,100,069/73,051,978 = 73,051,978/x
  3. Step 3: Cross multiply
    34,100,069x = 73,051,978 × 73,051,978
  4. Step 4: Simplify right side
    34,100,069x = 5,336,591,489,712,484
  5. Step 5: Solve for x
    x = 5,336,591,489,712,484/34,100,069
  6. Step 6: Final answer
    x = 156,497,967.49

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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.