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Finding the Third Proportional to 74,278,622 and 162,906,158

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Solution

The third proportional to 74,278,622 and 162,906,158 is: 357,282,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,278,622 : 162,906,158 = 162,906,158 : x
  2. Step 2: Convert to fraction form
    74,278,622/162,906,158 = 162,906,158/x
  3. Step 3: Cross multiply
    74,278,622x = 162,906,158 × 162,906,158
  4. Step 4: Simplify right side
    74,278,622x = 26,538,416,314,320,964
  5. Step 5: Solve for x
    x = 26,538,416,314,320,964/74,278,622
  6. Step 6: Final answer
    x = 357,282,022.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.