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Finding the Third Proportional to 2,760,376 and 6,032,509

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Solution

The third proportional to 2,760,376 and 6,032,509 is: 13,183,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760,376 : 6,032,509 = 6,032,509 : x
  2. Step 2: Convert to fraction form
    2,760,376/6,032,509 = 6,032,509/x
  3. Step 3: Cross multiply
    2,760,376x = 6,032,509 × 6,032,509
  4. Step 4: Simplify right side
    2,760,376x = 36,391,164,835,081
  5. Step 5: Solve for x
    x = 36,391,164,835,081/2,760,376
  6. Step 6: Final answer
    x = 13,183,408.65

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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.