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Finding the Third Proportional to 75,999,448 and 162,760,576

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Solution

The third proportional to 75,999,448 and 162,760,576 is: 348,568,388.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,999,448 : 162,760,576 = 162,760,576 : x
  2. Step 2: Convert to fraction form
    75,999,448/162,760,576 = 162,760,576/x
  3. Step 3: Cross multiply
    75,999,448x = 162,760,576 × 162,760,576
  4. Step 4: Simplify right side
    75,999,448x = 26,491,005,099,851,776
  5. Step 5: Solve for x
    x = 26,491,005,099,851,776/75,999,448
  6. Step 6: Final answer
    x = 348,568,388.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.