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Finding the Third Proportional to 30,410,526 and 66,174,824

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Solution

The third proportional to 30,410,526 and 66,174,824 is: 143,999,723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,410,526 : 66,174,824 = 66,174,824 : x
  2. Step 2: Convert to fraction form
    30,410,526/66,174,824 = 66,174,824/x
  3. Step 3: Cross multiply
    30,410,526x = 66,174,824 × 66,174,824
  4. Step 4: Simplify right side
    30,410,526x = 4,379,107,331,430,976
  5. Step 5: Solve for x
    x = 4,379,107,331,430,976/30,410,526
  6. Step 6: Final answer
    x = 143,999,723.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.