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Finding the Third Proportional to 74,344,736 and 161,043,268

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Solution

The third proportional to 74,344,736 and 161,043,268 is: 348,846,946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,344,736 : 161,043,268 = 161,043,268 : x
  2. Step 2: Convert to fraction form
    74,344,736/161,043,268 = 161,043,268/x
  3. Step 3: Cross multiply
    74,344,736x = 161,043,268 × 161,043,268
  4. Step 4: Simplify right side
    74,344,736x = 25,934,934,168,119,824
  5. Step 5: Solve for x
    x = 25,934,934,168,119,824/74,344,736
  6. Step 6: Final answer
    x = 348,846,946.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.