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Finding the Third Proportional to 2,081,003,605 and 4,855,842,883

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Solution

The third proportional to 2,081,003,605 and 4,855,842,883 is: 11,330,691,618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,003,605 : 4,855,842,883 = 4,855,842,883 : x
  2. Step 2: Convert to fraction form
    2,081,003,605/4,855,842,883 = 4,855,842,883/x
  3. Step 3: Cross multiply
    2,081,003,605x = 4,855,842,883 × 4,855,842,883
  4. Step 4: Simplify right side
    2,081,003,605x = 23,579,210,104,381,751,296
  5. Step 5: Solve for x
    x = 23,579,210,104,381,751,296/2,081,003,605
  6. Step 6: Final answer
    x = 11,330,691,618.09

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.