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Finding the Third Proportional to 3,443,638,805,422 and 7,398,324,694,904

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Solution

The third proportional to 3,443,638,805,422 and 7,398,324,694,904 is: 15,894,584,590,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443,638,805,422 : 7,398,324,694,904 = 7,398,324,694,904 : x
  2. Step 2: Convert to fraction form
    3,443,638,805,422/7,398,324,694,904 = 7,398,324,694,904/x
  3. Step 3: Cross multiply
    3,443,638,805,422x = 7,398,324,694,904 × 7,398,324,694,904
  4. Step 4: Simplify right side
    3,443,638,805,422x = 54,735,208,291,226,364,334,309,376
  5. Step 5: Solve for x
    x = 54,735,208,291,226,364,334,309,376/3,443,638,805,422
  6. Step 6: Final answer
    x = 15,894,584,590,301.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.