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Finding the Third Proportional to 74,080,805 and 159,539,824

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Solution

The third proportional to 74,080,805 and 159,539,824 is: 343,583,677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,080,805 : 159,539,824 = 159,539,824 : x
  2. Step 2: Convert to fraction form
    74,080,805/159,539,824 = 159,539,824/x
  3. Step 3: Cross multiply
    74,080,805x = 159,539,824 × 159,539,824
  4. Step 4: Simplify right side
    74,080,805x = 25,452,955,441,950,976
  5. Step 5: Solve for x
    x = 25,452,955,441,950,976/74,080,805
  6. Step 6: Final answer
    x = 343,583,677.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.