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Finding the Third Proportional to 31,449,956 and 67,272,001

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Solution

The third proportional to 31,449,956 and 67,272,001 is: 143,895,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,449,956 : 67,272,001 = 67,272,001 : x
  2. Step 2: Convert to fraction form
    31,449,956/67,272,001 = 67,272,001/x
  3. Step 3: Cross multiply
    31,449,956x = 67,272,001 × 67,272,001
  4. Step 4: Simplify right side
    31,449,956x = 4,525,522,118,544,001
  5. Step 5: Solve for x
    x = 4,525,522,118,544,001/31,449,956
  6. Step 6: Final answer
    x = 143,895,976.15

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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.