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Finding the Third Proportional to 10,448,230.50 and 15,830,093.25

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Solution

The third proportional to 10,448,230.50 and 15,830,093.25 is: 23,984,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448,230.50 : 15,830,093.25 = 15,830,093.25 : x
  2. Step 2: Convert to fraction form
    10,448,230.50/15,830,093.25 = 15,830,093.25/x
  3. Step 3: Cross multiply
    10,448,230.50x = 15,830,093.25 × 15,830,093.25
  4. Step 4: Simplify right side
    10,448,230.50x = 250,591,852,303,695.56
  5. Step 5: Solve for x
    x = 250,591,852,303,695.56/10,448,230.50
  6. Step 6: Final answer
    x = 23,984,142.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.