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Finding the Third Proportional to 2,336,408,081 and 3,497,333,785

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Solution

The third proportional to 2,336,408,081 and 3,497,333,785 is: 5,235,105,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336,408,081 : 3,497,333,785 = 3,497,333,785 : x
  2. Step 2: Convert to fraction form
    2,336,408,081/3,497,333,785 = 3,497,333,785/x
  3. Step 3: Cross multiply
    2,336,408,081x = 3,497,333,785 × 3,497,333,785
  4. Step 4: Simplify right side
    2,336,408,081x = 12,231,343,603,702,425,600
  5. Step 5: Solve for x
    x = 12,231,343,603,702,425,600/2,336,408,081
  6. Step 6: Final answer
    x = 5,235,105,846.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.