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Finding the Third Proportional to 67,450,636 and 145,131,464

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Solution

The third proportional to 67,450,636 and 145,131,464 is: 312,274,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,450,636 : 145,131,464 = 145,131,464 : x
  2. Step 2: Convert to fraction form
    67,450,636/145,131,464 = 145,131,464/x
  3. Step 3: Cross multiply
    67,450,636x = 145,131,464 × 145,131,464
  4. Step 4: Simplify right side
    67,450,636x = 21,063,141,842,783,296
  5. Step 5: Solve for x
    x = 21,063,141,842,783,296/67,450,636
  6. Step 6: Final answer
    x = 312,274,918.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.