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Finding the Third Proportional to 5,321,053.50 and 8,114,436

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Solution

The third proportional to 5,321,053.50 and 8,114,436 is: 12,374,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321,053.50 : 8,114,436 = 8,114,436 : x
  2. Step 2: Convert to fraction form
    5,321,053.50/8,114,436 = 8,114,436/x
  3. Step 3: Cross multiply
    5,321,053.50x = 8,114,436 × 8,114,436
  4. Step 4: Simplify right side
    5,321,053.50x = 65,844,071,598,096
  5. Step 5: Solve for x
    x = 65,844,071,598,096/5,321,053.50
  6. Step 6: Final answer
    x = 12,374,254.76

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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.