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Finding the Third Proportional to 34,984,953 and 76,122,993

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Solution

The third proportional to 34,984,953 and 76,122,993 is: 165,634,353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,984,953 : 76,122,993 = 76,122,993 : x
  2. Step 2: Convert to fraction form
    34,984,953/76,122,993 = 76,122,993/x
  3. Step 3: Cross multiply
    34,984,953x = 76,122,993 × 76,122,993
  4. Step 4: Simplify right side
    34,984,953x = 5,794,710,063,278,049
  5. Step 5: Solve for x
    x = 5,794,710,063,278,049/34,984,953
  6. Step 6: Final answer
    x = 165,634,353.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.