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Finding the Third Proportional to 12,634,231.50 and 25,865,824.50

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Solution

The third proportional to 12,634,231.50 and 25,865,824.50 is: 52,954,615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634,231.50 : 25,865,824.50 = 25,865,824.50 : x
  2. Step 2: Convert to fraction form
    12,634,231.50/25,865,824.50 = 25,865,824.50/x
  3. Step 3: Cross multiply
    12,634,231.50x = 25,865,824.50 × 25,865,824.50
  4. Step 4: Simplify right side
    12,634,231.50x = 669,040,877,064,800.25
  5. Step 5: Solve for x
    x = 669,040,877,064,800.25/12,634,231.50
  6. Step 6: Final answer
    x = 52,954,615.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.