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Finding the Third Proportional to 26,019,331,522 and 35,106,187,573

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Solution

The third proportional to 26,019,331,522 and 35,106,187,573 is: 47,366,489,983.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,019,331,522 : 35,106,187,573 = 35,106,187,573 : x
  2. Step 2: Convert to fraction form
    26,019,331,522/35,106,187,573 = 35,106,187,573/x
  3. Step 3: Cross multiply
    26,019,331,522x = 35,106,187,573 × 35,106,187,573
  4. Step 4: Simplify right side
    26,019,331,522x = 1,232,444,405,910,659,661,824
  5. Step 5: Solve for x
    x = 1,232,444,405,910,659,661,824/26,019,331,522
  6. Step 6: Final answer
    x = 47,366,489,983.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.