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Finding the Third Proportional to 71,578,296 and 109,447,416

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Solution

The third proportional to 71,578,296 and 109,447,416 is: 167,351,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,578,296 : 109,447,416 = 109,447,416 : x
  2. Step 2: Convert to fraction form
    71,578,296/109,447,416 = 109,447,416/x
  3. Step 3: Cross multiply
    71,578,296x = 109,447,416 × 109,447,416
  4. Step 4: Simplify right side
    71,578,296x = 11,978,736,869,077,056
  5. Step 5: Solve for x
    x = 11,978,736,869,077,056/71,578,296
  6. Step 6: Final answer
    x = 167,351,523.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.