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Finding the Third Proportional to 31,449,957 and 67,272,003

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Solution

The third proportional to 31,449,957 and 67,272,003 is: 143,895,980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,449,957 : 67,272,003 = 67,272,003 : x
  2. Step 2: Convert to fraction form
    31,449,957/67,272,003 = 67,272,003/x
  3. Step 3: Cross multiply
    31,449,957x = 67,272,003 × 67,272,003
  4. Step 4: Simplify right side
    31,449,957x = 4,525,522,387,632,009
  5. Step 5: Solve for x
    x = 4,525,522,387,632,009/31,449,957
  6. Step 6: Final answer
    x = 143,895,980.13

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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.