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Finding the Third Proportional to 74,346,049 and 161,048,296

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Solution

The third proportional to 74,346,049 and 161,048,296 is: 348,862,568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,346,049 : 161,048,296 = 161,048,296 : x
  2. Step 2: Convert to fraction form
    74,346,049/161,048,296 = 161,048,296/x
  3. Step 3: Cross multiply
    74,346,049x = 161,048,296 × 161,048,296
  4. Step 4: Simplify right side
    74,346,049x = 25,936,553,644,503,616
  5. Step 5: Solve for x
    x = 25,936,553,644,503,616/74,346,049
  6. Step 6: Final answer
    x = 348,862,568.94

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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.