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Finding the Third Proportional to 33,471,902.25 and 51,722,624.25

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Solution

The third proportional to 33,471,902.25 and 51,722,624.25 is: 79,924,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,471,902.25 : 51,722,624.25 = 51,722,624.25 : x
  2. Step 2: Convert to fraction form
    33,471,902.25/51,722,624.25 = 51,722,624.25/x
  3. Step 3: Cross multiply
    33,471,902.25x = 51,722,624.25 × 51,722,624.25
  4. Step 4: Simplify right side
    33,471,902.25x = 2,675,229,859,306,688
  5. Step 5: Solve for x
    x = 2,675,229,859,306,688/33,471,902.25
  6. Step 6: Final answer
    x = 79,924,643.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.