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Finding the Third Proportional to 75,823,026 and 163,727,976

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Solution

The third proportional to 75,823,026 and 163,727,976 is: 353,544,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,823,026 : 163,727,976 = 163,727,976 : x
  2. Step 2: Convert to fraction form
    75,823,026/163,727,976 = 163,727,976/x
  3. Step 3: Cross multiply
    75,823,026x = 163,727,976 × 163,727,976
  4. Step 4: Simplify right side
    75,823,026x = 26,806,850,125,056,576
  5. Step 5: Solve for x
    x = 26,806,850,125,056,576/75,823,026
  6. Step 6: Final answer
    x = 353,544,978.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.