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Finding the Third Proportional to 33,521,749.50 and 51,257,298

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Solution

The third proportional to 33,521,749.50 and 51,257,298 is: 78,376,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,521,749.50 : 51,257,298 = 51,257,298 : x
  2. Step 2: Convert to fraction form
    33,521,749.50/51,257,298 = 51,257,298/x
  3. Step 3: Cross multiply
    33,521,749.50x = 51,257,298 × 51,257,298
  4. Step 4: Simplify right side
    33,521,749.50x = 2,627,310,598,260,804
  5. Step 5: Solve for x
    x = 2,627,310,598,260,804/33,521,749.50
  6. Step 6: Final answer
    x = 78,376,297.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.