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Finding the Third Proportional to 77,204,024 and 159,761,824

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Solution

The third proportional to 77,204,024 and 159,761,824 is: 330,602,461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,204,024 : 159,761,824 = 159,761,824 : x
  2. Step 2: Convert to fraction form
    77,204,024/159,761,824 = 159,761,824/x
  3. Step 3: Cross multiply
    77,204,024x = 159,761,824 × 159,761,824
  4. Step 4: Simplify right side
    77,204,024x = 25,523,840,407,806,976
  5. Step 5: Solve for x
    x = 25,523,840,407,806,976/77,204,024
  6. Step 6: Final answer
    x = 330,602,461.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.