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Finding the Third Proportional to 51,186,848 and 78,491,104

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Solution

The third proportional to 51,186,848 and 78,491,104 is: 120,360,085.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,186,848 : 78,491,104 = 78,491,104 : x
  2. Step 2: Convert to fraction form
    51,186,848/78,491,104 = 78,491,104/x
  3. Step 3: Cross multiply
    51,186,848x = 78,491,104 × 78,491,104
  4. Step 4: Simplify right side
    51,186,848x = 6,160,853,407,138,816
  5. Step 5: Solve for x
    x = 6,160,853,407,138,816/51,186,848
  6. Step 6: Final answer
    x = 120,360,085.61

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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.