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Finding the Third Proportional to 5,984,254.50 and 9,477,375

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Solution

The third proportional to 5,984,254.50 and 9,477,375 is: 15,009,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984,254.50 : 9,477,375 = 9,477,375 : x
  2. Step 2: Convert to fraction form
    5,984,254.50/9,477,375 = 9,477,375/x
  3. Step 3: Cross multiply
    5,984,254.50x = 9,477,375 × 9,477,375
  4. Step 4: Simplify right side
    5,984,254.50x = 89,820,636,890,625
  5. Step 5: Solve for x
    x = 89,820,636,890,625/5,984,254.50
  6. Step 6: Final answer
    x = 15,009,494.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.