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Finding the Third Proportional to 34,520,009 and 74,419,999

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Solution

The third proportional to 34,520,009 and 74,419,999 is: 160,438,435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,520,009 : 74,419,999 = 74,419,999 : x
  2. Step 2: Convert to fraction form
    34,520,009/74,419,999 = 74,419,999/x
  3. Step 3: Cross multiply
    34,520,009x = 74,419,999 × 74,419,999
  4. Step 4: Simplify right side
    34,520,009x = 5,538,336,251,160,001
  5. Step 5: Solve for x
    x = 5,538,336,251,160,001/34,520,009
  6. Step 6: Final answer
    x = 160,438,435.90

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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.