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Finding the Third Proportional to 950,519,977.50 and 1,927,902,055.50

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Solution

The third proportional to 950,519,977.50 and 1,927,902,055.50 is: 3,910,287,446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,519,977.50 : 1,927,902,055.50 = 1,927,902,055.50 : x
  2. Step 2: Convert to fraction form
    950,519,977.50/1,927,902,055.50 = 1,927,902,055.50/x
  3. Step 3: Cross multiply
    950,519,977.50x = 1,927,902,055.50 × 1,927,902,055.50
  4. Step 4: Simplify right side
    950,519,977.50x = 3,716,806,335,601,124,864
  5. Step 5: Solve for x
    x = 3,716,806,335,601,124,864/950,519,977.50
  6. Step 6: Final answer
    x = 3,910,287,446.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.