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Finding the Third Proportional to 5,748,529.50 and 12,517,659

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Solution

The third proportional to 5,748,529.50 and 12,517,659 is: 27,257,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748,529.50 : 12,517,659 = 12,517,659 : x
  2. Step 2: Convert to fraction form
    5,748,529.50/12,517,659 = 12,517,659/x
  3. Step 3: Cross multiply
    5,748,529.50x = 12,517,659 × 12,517,659
  4. Step 4: Simplify right side
    5,748,529.50x = 156,691,786,840,281
  5. Step 5: Solve for x
    x = 156,691,786,840,281/5,748,529.50
  6. Step 6: Final answer
    x = 27,257,716.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.