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Finding the Third Proportional to 51,228,330,408 and 76,541,167,949

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Solution

The third proportional to 51,228,330,408 and 76,541,167,949 is: 114,361,532,853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,228,330,408 : 76,541,167,949 = 76,541,167,949 : x
  2. Step 2: Convert to fraction form
    51,228,330,408/76,541,167,949 = 76,541,167,949/x
  3. Step 3: Cross multiply
    51,228,330,408x = 76,541,167,949 × 76,541,167,949
  4. Step 4: Simplify right side
    51,228,330,408x = 5,858,550,390,997,024,505,856
  5. Step 5: Solve for x
    x = 5,858,550,390,997,024,505,856/51,228,330,408
  6. Step 6: Final answer
    x = 114,361,532,853.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.