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Finding the Third Proportional to 5,677,825 and 8,514,649

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Solution

The third proportional to 5,677,825 and 8,514,649 is: 12,768,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677,825 : 8,514,649 = 8,514,649 : x
  2. Step 2: Convert to fraction form
    5,677,825/8,514,649 = 8,514,649/x
  3. Step 3: Cross multiply
    5,677,825x = 8,514,649 × 8,514,649
  4. Step 4: Simplify right side
    5,677,825x = 72,499,247,593,201
  5. Step 5: Solve for x
    x = 72,499,247,593,201/5,677,825
  6. Step 6: Final answer
    x = 12,768,841.52

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