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Finding the Third Proportional to 17,026,202,538 and 39,780,891,657

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Solution

The third proportional to 17,026,202,538 and 39,780,891,657 is: 92,946,112,763.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,026,202,538 : 39,780,891,657 = 39,780,891,657 : x
  2. Step 2: Convert to fraction form
    17,026,202,538/39,780,891,657 = 39,780,891,657/x
  3. Step 3: Cross multiply
    17,026,202,538x = 39,780,891,657 × 39,780,891,657
  4. Step 4: Simplify right side
    17,026,202,538x = 1,582,519,341,025,972,191,232
  5. Step 5: Solve for x
    x = 1,582,519,341,025,972,191,232/17,026,202,538
  6. Step 6: Final answer
    x = 92,946,112,763.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.