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Finding the Third Proportional to 12,755,947.50 and 19,633,234.50

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Solution

The third proportional to 12,755,947.50 and 19,633,234.50 is: 30,218,366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,755,947.50 : 19,633,234.50 = 19,633,234.50 : x
  2. Step 2: Convert to fraction form
    12,755,947.50/19,633,234.50 = 19,633,234.50/x
  3. Step 3: Cross multiply
    12,755,947.50x = 19,633,234.50 × 19,633,234.50
  4. Step 4: Simplify right side
    12,755,947.50x = 385,463,896,931,990.25
  5. Step 5: Solve for x
    x = 385,463,896,931,990.25/12,755,947.50
  6. Step 6: Final answer
    x = 30,218,366.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.