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Finding the Third Proportional to 2,196,115,644 and 3,345,632,498

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Solution

The third proportional to 2,196,115,644 and 3,345,632,498 is: 5,096,843,074.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196,115,644 : 3,345,632,498 = 3,345,632,498 : x
  2. Step 2: Convert to fraction form
    2,196,115,644/3,345,632,498 = 3,345,632,498/x
  3. Step 3: Cross multiply
    2,196,115,644x = 3,345,632,498 × 3,345,632,498
  4. Step 4: Simplify right side
    2,196,115,644x = 11,193,256,811,673,720,832
  5. Step 5: Solve for x
    x = 11,193,256,811,673,720,832/2,196,115,644
  6. Step 6: Final answer
    x = 5,096,843,074.84

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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.