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Finding the Third Proportional to 35,220,810 and 76,694,353.50

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Solution

The third proportional to 35,220,810 and 76,694,353.50 is: 167,004,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,220,810 : 76,694,353.50 = 76,694,353.50 : x
  2. Step 2: Convert to fraction form
    35,220,810/76,694,353.50 = 76,694,353.50/x
  3. Step 3: Cross multiply
    35,220,810x = 76,694,353.50 × 76,694,353.50
  4. Step 4: Simplify right side
    35,220,810x = 5,882,023,858,782,962
  5. Step 5: Solve for x
    x = 5,882,023,858,782,962/35,220,810
  6. Step 6: Final answer
    x = 167,004,218.78

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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.