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Finding the Third Proportional to 34,520,012 and 74,420,006

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Solution

The third proportional to 34,520,012 and 74,420,006 is: 160,438,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,520,012 : 74,420,006 = 74,420,006 : x
  2. Step 2: Convert to fraction form
    34,520,012/74,420,006 = 74,420,006/x
  3. Step 3: Cross multiply
    34,520,012x = 74,420,006 × 74,420,006
  4. Step 4: Simplify right side
    34,520,012x = 5,538,337,293,040,036
  5. Step 5: Solve for x
    x = 5,538,337,293,040,036/34,520,012
  6. Step 6: Final answer
    x = 160,438,452.14

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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.