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Finding the Third Proportional to 5,685,314 and 12,328,165

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Solution

The third proportional to 5,685,314 and 12,328,165 is: 26,732,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685,314 : 12,328,165 = 12,328,165 : x
  2. Step 2: Convert to fraction form
    5,685,314/12,328,165 = 12,328,165/x
  3. Step 3: Cross multiply
    5,685,314x = 12,328,165 × 12,328,165
  4. Step 4: Simplify right side
    5,685,314x = 151,983,652,267,225
  5. Step 5: Solve for x
    x = 151,983,652,267,225/5,685,314
  6. Step 6: Final answer
    x = 26,732,675.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.