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Finding the Third Proportional to 15,234,912 and 32,954,735.25

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Solution

The third proportional to 15,234,912 and 32,954,735.25 is: 71,284,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,234,912 : 32,954,735.25 = 32,954,735.25 : x
  2. Step 2: Convert to fraction form
    15,234,912/32,954,735.25 = 32,954,735.25/x
  3. Step 3: Cross multiply
    15,234,912x = 32,954,735.25 × 32,954,735.25
  4. Step 4: Simplify right side
    15,234,912x = 1,086,014,575,397,592.50
  5. Step 5: Solve for x
    x = 1,086,014,575,397,592.50/15,234,912
  6. Step 6: Final answer
    x = 71,284,597.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.