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Finding the Third Proportional to 11,979,098.50 and 19,558,717.50

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Solution

The third proportional to 11,979,098.50 and 19,558,717.50 is: 31,934,241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,979,098.50 : 19,558,717.50 = 19,558,717.50 : x
  2. Step 2: Convert to fraction form
    11,979,098.50/19,558,717.50 = 19,558,717.50/x
  3. Step 3: Cross multiply
    11,979,098.50x = 19,558,717.50 × 19,558,717.50
  4. Step 4: Simplify right side
    11,979,098.50x = 382,543,430,244,806.25
  5. Step 5: Solve for x
    x = 382,543,430,244,806.25/11,979,098.50
  6. Step 6: Final answer
    x = 31,934,241.98

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.