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Finding the Third Proportional to 67,405,003 and 145,192,788

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Solution

The third proportional to 67,405,003 and 145,192,788 is: 312,750,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,405,003 : 145,192,788 = 145,192,788 : x
  2. Step 2: Convert to fraction form
    67,405,003/145,192,788 = 145,192,788/x
  3. Step 3: Cross multiply
    67,405,003x = 145,192,788 × 145,192,788
  4. Step 4: Simplify right side
    67,405,003x = 21,080,945,687,212,944
  5. Step 5: Solve for x
    x = 21,080,945,687,212,944/67,405,003
  6. Step 6: Final answer
    x = 312,750,459.89

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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.