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Finding the Third Proportional to 75,999,444 and 162,760,578

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Solution

The third proportional to 75,999,444 and 162,760,578 is: 348,568,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,999,444 : 162,760,578 = 162,760,578 : x
  2. Step 2: Convert to fraction form
    75,999,444/162,760,578 = 162,760,578/x
  3. Step 3: Cross multiply
    75,999,444x = 162,760,578 × 162,760,578
  4. Step 4: Simplify right side
    75,999,444x = 26,491,005,750,894,084
  5. Step 5: Solve for x
    x = 26,491,005,750,894,084/75,999,444
  6. Step 6: Final answer
    x = 348,568,415.20

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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.