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Finding the Third Proportional to 27,661,442 and 40,595,349

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Solution

The third proportional to 27,661,442 and 40,595,349 is: 59,576,878.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,661,442 : 40,595,349 = 40,595,349 : x
  2. Step 2: Convert to fraction form
    27,661,442/40,595,349 = 40,595,349/x
  3. Step 3: Cross multiply
    27,661,442x = 40,595,349 × 40,595,349
  4. Step 4: Simplify right side
    27,661,442x = 1,647,982,360,431,801
  5. Step 5: Solve for x
    x = 1,647,982,360,431,801/27,661,442
  6. Step 6: Final answer
    x = 59,576,878.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.