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Finding the Third Proportional to 8,629,573.50 and 14,380,915.50

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Solution

The third proportional to 8,629,573.50 and 14,380,915.50 is: 23,965,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,629,573.50 : 14,380,915.50 = 14,380,915.50 : x
  2. Step 2: Convert to fraction form
    8,629,573.50/14,380,915.50 = 14,380,915.50/x
  3. Step 3: Cross multiply
    8,629,573.50x = 14,380,915.50 × 14,380,915.50
  4. Step 4: Simplify right side
    8,629,573.50x = 206,810,730,618,140.25
  5. Step 5: Solve for x
    x = 206,810,730,618,140.25/8,629,573.50
  6. Step 6: Final answer
    x = 23,965,347.84

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.