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Finding the Third Proportional to 10,633,648.50 and 23,325,808.50

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Solution

The third proportional to 10,633,648.50 and 23,325,808.50 is: 51,167,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633,648.50 : 23,325,808.50 = 23,325,808.50 : x
  2. Step 2: Convert to fraction form
    10,633,648.50/23,325,808.50 = 23,325,808.50/x
  3. Step 3: Cross multiply
    10,633,648.50x = 23,325,808.50 × 23,325,808.50
  4. Step 4: Simplify right side
    10,633,648.50x = 544,093,342,178,672.25
  5. Step 5: Solve for x
    x = 544,093,342,178,672.25/10,633,648.50
  6. Step 6: Final answer
    x = 51,167,136.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.