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Finding the Third Proportional to 77,596,956 and 107,892,376

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Solution

The third proportional to 77,596,956 and 107,892,376 is: 150,015,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,596,956 : 107,892,376 = 107,892,376 : x
  2. Step 2: Convert to fraction form
    77,596,956/107,892,376 = 107,892,376/x
  3. Step 3: Cross multiply
    77,596,956x = 107,892,376 × 107,892,376
  4. Step 4: Simplify right side
    77,596,956x = 11,640,764,798,925,376
  5. Step 5: Solve for x
    x = 11,640,764,798,925,376/77,596,956
  6. Step 6: Final answer
    x = 150,015,740.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.