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Finding the Third Proportional to 75,999,441 and 162,760,563

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Solution

The third proportional to 75,999,441 and 162,760,563 is: 348,568,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,999,441 : 162,760,563 = 162,760,563 : x
  2. Step 2: Convert to fraction form
    75,999,441/162,760,563 = 162,760,563/x
  3. Step 3: Cross multiply
    75,999,441x = 162,760,563 × 162,760,563
  4. Step 4: Simplify right side
    75,999,441x = 26,491,000,868,076,968
  5. Step 5: Solve for x
    x = 26,491,000,868,076,968/75,999,441
  6. Step 6: Final answer
    x = 348,568,364.71

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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.