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Finding the Third Proportional to 33,666,826.50 and 52,232,350.50

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Solution

The third proportional to 33,666,826.50 and 52,232,350.50 is: 81,035,806.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,666,826.50 : 52,232,350.50 = 52,232,350.50 : x
  2. Step 2: Convert to fraction form
    33,666,826.50/52,232,350.50 = 52,232,350.50/x
  3. Step 3: Cross multiply
    33,666,826.50x = 52,232,350.50 × 52,232,350.50
  4. Step 4: Simplify right side
    33,666,826.50x = 2,728,218,438,754,850
  5. Step 5: Solve for x
    x = 2,728,218,438,754,850/33,666,826.50
  6. Step 6: Final answer
    x = 81,035,806.53

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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.