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Finding the Third Proportional to 5,747,546 and 8,645,315

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Solution

The third proportional to 5,747,546 and 8,645,315 is: 13,004,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747,546 : 8,645,315 = 8,645,315 : x
  2. Step 2: Convert to fraction form
    5,747,546/8,645,315 = 8,645,315/x
  3. Step 3: Cross multiply
    5,747,546x = 8,645,315 × 8,645,315
  4. Step 4: Simplify right side
    5,747,546x = 74,741,471,449,225
  5. Step 5: Solve for x
    x = 74,741,471,449,225/5,747,546
  6. Step 6: Final answer
    x = 13,004,066.68

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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.