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Finding the Third Proportional to 2,967,659,780,522 and 6,428,102,952,916

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Solution

The third proportional to 2,967,659,780,522 and 6,428,102,952,916 is: 13,923,599,950,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967,659,780,522 : 6,428,102,952,916 = 6,428,102,952,916 : x
  2. Step 2: Convert to fraction form
    2,967,659,780,522/6,428,102,952,916 = 6,428,102,952,916/x
  3. Step 3: Cross multiply
    2,967,659,780,522x = 6,428,102,952,916 × 6,428,102,952,916
  4. Step 4: Simplify right side
    2,967,659,780,522x = 41,320,507,573,287,400,348,057,600
  5. Step 5: Solve for x
    x = 41,320,507,573,287,400,348,057,600/2,967,659,780,522
  6. Step 6: Final answer
    x = 13,923,599,950,537.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.