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Finding the Third Proportional to 30,880,521 and 41,169,343.50

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Solution

The third proportional to 30,880,521 and 41,169,343.50 is: 54,886,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880,521 : 41,169,343.50 = 41,169,343.50 : x
  2. Step 2: Convert to fraction form
    30,880,521/41,169,343.50 = 41,169,343.50/x
  3. Step 3: Cross multiply
    30,880,521x = 41,169,343.50 × 41,169,343.50
  4. Step 4: Simplify right side
    30,880,521x = 1,694,914,844,220,992.25
  5. Step 5: Solve for x
    x = 1,694,914,844,220,992.25/30,880,521
  6. Step 6: Final answer
    x = 54,886,212.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.