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Finding the Third Proportional to 9,023,755 and 19,485,761

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Solution

The third proportional to 9,023,755 and 19,485,761 is: 42,077,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023,755 : 19,485,761 = 19,485,761 : x
  2. Step 2: Convert to fraction form
    9,023,755/19,485,761 = 19,485,761/x
  3. Step 3: Cross multiply
    9,023,755x = 19,485,761 × 19,485,761
  4. Step 4: Simplify right side
    9,023,755x = 379,694,881,749,121
  5. Step 5: Solve for x
    x = 379,694,881,749,121/9,023,755
  6. Step 6: Final answer
    x = 42,077,259.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.