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Finding the Third Proportional to 48,189,268 and 73,413,214

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Solution

The third proportional to 48,189,268 and 73,413,214 is: 111,840,254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,189,268 : 73,413,214 = 73,413,214 : x
  2. Step 2: Convert to fraction form
    48,189,268/73,413,214 = 73,413,214/x
  3. Step 3: Cross multiply
    48,189,268x = 73,413,214 × 73,413,214
  4. Step 4: Simplify right side
    48,189,268x = 5,389,499,989,809,796
  5. Step 5: Solve for x
    x = 5,389,499,989,809,796/48,189,268
  6. Step 6: Final answer
    x = 111,840,254.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.