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Finding the Third Proportional to 12,328,409.25 and 19,634,227.88

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Solution

The third proportional to 12,328,409.25 and 19,634,227.88 is: 31,269,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328,409.25 : 19,634,227.88 = 19,634,227.88 : x
  2. Step 2: Convert to fraction form
    12,328,409.25/19,634,227.88 = 19,634,227.88/x
  3. Step 3: Cross multiply
    12,328,409.25x = 19,634,227.88 × 19,634,227.88
  4. Step 4: Simplify right side
    12,328,409.25x = 385,502,904,247,427
  5. Step 5: Solve for x
    x = 385,502,904,247,427/12,328,409.25
  6. Step 6: Final answer
    x = 31,269,476.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.