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Finding the Third Proportional to 22,711,245.75 and 34,058,530.69

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Solution

The third proportional to 22,711,245.75 and 34,058,530.69 is: 51,075,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711,245.75 : 34,058,530.69 = 34,058,530.69 : x
  2. Step 2: Convert to fraction form
    22,711,245.75/34,058,530.69 = 34,058,530.69/x
  3. Step 3: Cross multiply
    22,711,245.75x = 34,058,530.69 × 34,058,530.69
  4. Step 4: Simplify right side
    22,711,245.75x = 1,159,983,512,591,379.25
  5. Step 5: Solve for x
    x = 1,159,983,512,591,379.25/22,711,245.75
  6. Step 6: Final answer
    x = 51,075,292.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.