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Finding the Third Proportional to 20,152,068,682 and 43,729,582,976

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Solution

The third proportional to 20,152,068,682 and 43,729,582,976 is: 94,892,313,907.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152,068,682 : 43,729,582,976 = 43,729,582,976 : x
  2. Step 2: Convert to fraction form
    20,152,068,682/43,729,582,976 = 43,729,582,976/x
  3. Step 3: Cross multiply
    20,152,068,682x = 43,729,582,976 × 43,729,582,976
  4. Step 4: Simplify right side
    20,152,068,682x = 1,912,276,427,254,869,000,192
  5. Step 5: Solve for x
    x = 1,912,276,427,254,869,000,192/20,152,068,682
  6. Step 6: Final answer
    x = 94,892,313,907.35

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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.