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Finding the Third Proportional to 5,401,684 and 8,282,370

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Solution

The third proportional to 5,401,684 and 8,282,370 is: 12,699,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401,684 : 8,282,370 = 8,282,370 : x
  2. Step 2: Convert to fraction form
    5,401,684/8,282,370 = 8,282,370/x
  3. Step 3: Cross multiply
    5,401,684x = 8,282,370 × 8,282,370
  4. Step 4: Simplify right side
    5,401,684x = 68,597,652,816,900
  5. Step 5: Solve for x
    x = 68,597,652,816,900/5,401,684
  6. Step 6: Final answer
    x = 12,699,308.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.