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Finding the Third Proportional to 37,999,722 and 81,380,284

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Solution

The third proportional to 37,999,722 and 81,380,284 is: 174,284,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,999,722 : 81,380,284 = 81,380,284 : x
  2. Step 2: Convert to fraction form
    37,999,722/81,380,284 = 81,380,284/x
  3. Step 3: Cross multiply
    37,999,722x = 81,380,284 × 81,380,284
  4. Step 4: Simplify right side
    37,999,722x = 6,622,750,623,920,656
  5. Step 5: Solve for x
    x = 6,622,750,623,920,656/37,999,722
  6. Step 6: Final answer
    x = 174,284,186.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.