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Finding the Third Proportional to 5,847,750 and 8,771,625

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Solution

The third proportional to 5,847,750 and 8,771,625 is: 13,157,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847,750 : 8,771,625 = 8,771,625 : x
  2. Step 2: Convert to fraction form
    5,847,750/8,771,625 = 8,771,625/x
  3. Step 3: Cross multiply
    5,847,750x = 8,771,625 × 8,771,625
  4. Step 4: Simplify right side
    5,847,750x = 76,941,405,140,625
  5. Step 5: Solve for x
    x = 76,941,405,140,625/5,847,750
  6. Step 6: Final answer
    x = 13,157,437.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.