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Finding the Third Proportional to 5,271,704 and 11,569,840

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Solution

The third proportional to 5,271,704 and 11,569,840 is: 25,392,396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271,704 : 11,569,840 = 11,569,840 : x
  2. Step 2: Convert to fraction form
    5,271,704/11,569,840 = 11,569,840/x
  3. Step 3: Cross multiply
    5,271,704x = 11,569,840 × 11,569,840
  4. Step 4: Simplify right side
    5,271,704x = 133,861,197,625,600
  5. Step 5: Solve for x
    x = 133,861,197,625,600/5,271,704
  6. Step 6: Final answer
    x = 25,392,396.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.