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Finding the Third Proportional to 5,467,306.50 and 12,656,900.25

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Solution

The third proportional to 5,467,306.50 and 12,656,900.25 is: 29,300,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467,306.50 : 12,656,900.25 = 12,656,900.25 : x
  2. Step 2: Convert to fraction form
    5,467,306.50/12,656,900.25 = 12,656,900.25/x
  3. Step 3: Cross multiply
    5,467,306.50x = 12,656,900.25 × 12,656,900.25
  4. Step 4: Simplify right side
    5,467,306.50x = 160,197,123,938,450.06
  5. Step 5: Solve for x
    x = 160,197,123,938,450.06/5,467,306.50
  6. Step 6: Final answer
    x = 29,300,922.48

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.