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Finding the Third Proportional to 74,146,686 and 161,474,966

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Solution

The third proportional to 74,146,686 and 161,474,966 is: 351,656,507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,146,686 : 161,474,966 = 161,474,966 : x
  2. Step 2: Convert to fraction form
    74,146,686/161,474,966 = 161,474,966/x
  3. Step 3: Cross multiply
    74,146,686x = 161,474,966 × 161,474,966
  4. Step 4: Simplify right side
    74,146,686x = 26,074,164,644,701,156
  5. Step 5: Solve for x
    x = 26,074,164,644,701,156/74,146,686
  6. Step 6: Final answer
    x = 351,656,507.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.