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Finding the Third Proportional to 5,957,538 and 12,859,861

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Solution

The third proportional to 5,957,538 and 12,859,861 is: 27,759,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957,538 : 12,859,861 = 12,859,861 : x
  2. Step 2: Convert to fraction form
    5,957,538/12,859,861 = 12,859,861/x
  3. Step 3: Cross multiply
    5,957,538x = 12,859,861 × 12,859,861
  4. Step 4: Simplify right side
    5,957,538x = 165,376,024,939,321
  5. Step 5: Solve for x
    x = 165,376,024,939,321/5,957,538
  6. Step 6: Final answer
    x = 27,759,122.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.