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Finding the Third Proportional to 1,932,535,063,354.70 and 4,204,365,601,362.30

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Solution

The third proportional to 1,932,535,063,354.70 and 4,204,365,601,362.30 is: 9,146,892,310,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932,535,063,354.70 : 4,204,365,601,362.30 = 4,204,365,601,362.30 : x
  2. Step 2: Convert to fraction form
    1,932,535,063,354.70/4,204,365,601,362.30 = 4,204,365,601,362.30/x
  3. Step 3: Cross multiply
    1,932,535,063,354.70x = 4,204,365,601,362.30 × 4,204,365,601,362.30
  4. Step 4: Simplify right side
    1,932,535,063,354.70x = 17,676,690,109,918,573,722,861,568
  5. Step 5: Solve for x
    x = 17,676,690,109,918,573,722,861,568/1,932,535,063,354.70
  6. Step 6: Final answer
    x = 9,146,892,310,059.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.