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Finding the Third Proportional to 2,515,586 and 5,431,633

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Solution

The third proportional to 2,515,586 and 5,431,633 is: 11,727,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515,586 : 5,431,633 = 5,431,633 : x
  2. Step 2: Convert to fraction form
    2,515,586/5,431,633 = 5,431,633/x
  3. Step 3: Cross multiply
    2,515,586x = 5,431,633 × 5,431,633
  4. Step 4: Simplify right side
    2,515,586x = 29,502,637,046,689
  5. Step 5: Solve for x
    x = 29,502,637,046,689/2,515,586
  6. Step 6: Final answer
    x = 11,727,938.16

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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.