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Finding the Third Proportional to 227,909,745 and 463,873,968

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Solution

The third proportional to 227,909,745 and 463,873,968 is: 944,141,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,909,745 : 463,873,968 = 463,873,968 : x
  2. Step 2: Convert to fraction form
    227,909,745/463,873,968 = 463,873,968/x
  3. Step 3: Cross multiply
    227,909,745x = 463,873,968 × 463,873,968
  4. Step 4: Simplify right side
    227,909,745x = 215,179,058,188,065,024
  5. Step 5: Solve for x
    x = 215,179,058,188,065,024/227,909,745
  6. Step 6: Final answer
    x = 944,141,542.47

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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.