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Finding the Third Proportional to 51,436,723 and 78,360,965

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Solution

The third proportional to 51,436,723 and 78,360,965 is: 119,378,538.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,436,723 : 78,360,965 = 78,360,965 : x
  2. Step 2: Convert to fraction form
    51,436,723/78,360,965 = 78,360,965/x
  3. Step 3: Cross multiply
    51,436,723x = 78,360,965 × 78,360,965
  4. Step 4: Simplify right side
    51,436,723x = 6,140,440,835,731,225
  5. Step 5: Solve for x
    x = 6,140,440,835,731,225/51,436,723
  6. Step 6: Final answer
    x = 119,378,538.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.