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Finding the Third Proportional to 27,859,590 and 37,832,616

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Solution

The third proportional to 27,859,590 and 37,832,616 is: 51,375,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,859,590 : 37,832,616 = 37,832,616 : x
  2. Step 2: Convert to fraction form
    27,859,590/37,832,616 = 37,832,616/x
  3. Step 3: Cross multiply
    27,859,590x = 37,832,616 × 37,832,616
  4. Step 4: Simplify right side
    27,859,590x = 1,431,306,833,403,456
  5. Step 5: Solve for x
    x = 1,431,306,833,403,456/27,859,590
  6. Step 6: Final answer
    x = 51,375,732.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.