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Finding the Third Proportional to 3,315,154,731,201 and 7,214,067,141,309

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Solution

The third proportional to 3,315,154,731,201 and 7,214,067,141,309 is: 15,698,442,135,900.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315,154,731,201 : 7,214,067,141,309 = 7,214,067,141,309 : x
  2. Step 2: Convert to fraction form
    3,315,154,731,201/7,214,067,141,309 = 7,214,067,141,309/x
  3. Step 3: Cross multiply
    3,315,154,731,201x = 7,214,067,141,309 × 7,214,067,141,309
  4. Step 4: Simplify right side
    3,315,154,731,201x = 52,042,764,719,314,204,469,755,904
  5. Step 5: Solve for x
    x = 52,042,764,719,314,204,469,755,904/3,315,154,731,201
  6. Step 6: Final answer
    x = 15,698,442,135,900.06

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Why These Related Problems?

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