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Finding the Third Proportional to 12,328,414.50 and 19,634,236.50

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Solution

The third proportional to 12,328,414.50 and 19,634,236.50 is: 31,269,490.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328,414.50 : 19,634,236.50 = 19,634,236.50 : x
  2. Step 2: Convert to fraction form
    12,328,414.50/19,634,236.50 = 19,634,236.50/x
  3. Step 3: Cross multiply
    12,328,414.50x = 19,634,236.50 × 19,634,236.50
  4. Step 4: Simplify right side
    12,328,414.50x = 385,503,242,937,932.25
  5. Step 5: Solve for x
    x = 385,503,242,937,932.25/12,328,414.50
  6. Step 6: Final answer
    x = 31,269,490.73

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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.