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Finding the Third Proportional to 2,135,141,956 and 4,615,623,844

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Solution

The third proportional to 2,135,141,956 and 4,615,623,844 is: 9,977,783,167.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135,141,956 : 4,615,623,844 = 4,615,623,844 : x
  2. Step 2: Convert to fraction form
    2,135,141,956/4,615,623,844 = 4,615,623,844/x
  3. Step 3: Cross multiply
    2,135,141,956x = 4,615,623,844 × 4,615,623,844
  4. Step 4: Simplify right side
    2,135,141,956x = 21,303,983,469,301,338,112
  5. Step 5: Solve for x
    x = 21,303,983,469,301,338,112/2,135,141,956
  6. Step 6: Final answer
    x = 9,977,783,167.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.