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Finding the Third Proportional to 54,673,968 and 120,261,984

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Solution

The third proportional to 54,673,968 and 120,261,984 is: 264,530,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,673,968 : 120,261,984 = 120,261,984 : x
  2. Step 2: Convert to fraction form
    54,673,968/120,261,984 = 120,261,984/x
  3. Step 3: Cross multiply
    54,673,968x = 120,261,984 × 120,261,984
  4. Step 4: Simplify right side
    54,673,968x = 14,462,944,795,616,256
  5. Step 5: Solve for x
    x = 14,462,944,795,616,256/54,673,968
  6. Step 6: Final answer
    x = 264,530,732.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.