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Finding the Third Proportional to 27,838,296 and 42,589,476

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Solution

The third proportional to 27,838,296 and 42,589,476 is: 65,157,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838,296 : 42,589,476 = 42,589,476 : x
  2. Step 2: Convert to fraction form
    27,838,296/42,589,476 = 42,589,476/x
  3. Step 3: Cross multiply
    27,838,296x = 42,589,476 × 42,589,476
  4. Step 4: Simplify right side
    27,838,296x = 1,813,863,465,954,576
  5. Step 5: Solve for x
    x = 1,813,863,465,954,576/27,838,296
  6. Step 6: Final answer
    x = 65,157,129.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.