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Finding the Third Proportional to 34,348,847 and 74,078,382.25

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Solution

The third proportional to 34,348,847 and 74,078,382.25 is: 159,761,016.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,348,847 : 74,078,382.25 = 74,078,382.25 : x
  2. Step 2: Convert to fraction form
    34,348,847/74,078,382.25 = 74,078,382.25/x
  3. Step 3: Cross multiply
    34,348,847x = 74,078,382.25 × 74,078,382.25
  4. Step 4: Simplify right side
    34,348,847x = 5,487,606,716,777,115
  5. Step 5: Solve for x
    x = 5,487,606,716,777,115/34,348,847
  6. Step 6: Final answer
    x = 159,761,016.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.