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Finding the Third Proportional to 5,748,538 and 12,517,676

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Solution

The third proportional to 5,748,538 and 12,517,676 is: 27,257,750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748,538 : 12,517,676 = 12,517,676 : x
  2. Step 2: Convert to fraction form
    5,748,538/12,517,676 = 12,517,676/x
  3. Step 3: Cross multiply
    5,748,538x = 12,517,676 × 12,517,676
  4. Step 4: Simplify right side
    5,748,538x = 156,692,212,440,976
  5. Step 5: Solve for x
    x = 156,692,212,440,976/5,748,538
  6. Step 6: Final answer
    x = 27,257,750.13

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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.