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Finding the Third Proportional to 20,146,806,760.50 and 43,123,761,051

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Solution

The third proportional to 20,146,806,760.50 and 43,123,761,051 is: 92,305,385,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146,806,760.50 : 43,123,761,051 = 43,123,761,051 : x
  2. Step 2: Convert to fraction form
    20,146,806,760.50/43,123,761,051 = 43,123,761,051/x
  3. Step 3: Cross multiply
    20,146,806,760.50x = 43,123,761,051 × 43,123,761,051
  4. Step 4: Simplify right side
    20,146,806,760.50x = 1,859,658,767,183,744,598,016
  5. Step 5: Solve for x
    x = 1,859,658,767,183,744,598,016/20,146,806,760.50
  6. Step 6: Final answer
    x = 92,305,385,627.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.