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Finding the Third Proportional to 227,909,740 and 463,873,956

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Solution

The third proportional to 227,909,740 and 463,873,956 is: 944,141,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,909,740 : 463,873,956 = 463,873,956 : x
  2. Step 2: Convert to fraction form
    227,909,740/463,873,956 = 463,873,956/x
  3. Step 3: Cross multiply
    227,909,740x = 463,873,956 × 463,873,956
  4. Step 4: Simplify right side
    227,909,740x = 215,179,047,055,089,920
  5. Step 5: Solve for x
    x = 215,179,047,055,089,920/227,909,740
  6. Step 6: Final answer
    x = 944,141,514.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.