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Finding the Third Proportional to 2,192,266,406 and 3,167,446,377

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Solution

The third proportional to 2,192,266,406 and 3,167,446,377 is: 4,576,413,032.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192,266,406 : 3,167,446,377 = 3,167,446,377 : x
  2. Step 2: Convert to fraction form
    2,192,266,406/3,167,446,377 = 3,167,446,377/x
  3. Step 3: Cross multiply
    2,192,266,406x = 3,167,446,377 × 3,167,446,377
  4. Step 4: Simplify right side
    2,192,266,406x = 10,032,716,551,170,426,880
  5. Step 5: Solve for x
    x = 10,032,716,551,170,426,880/2,192,266,406
  6. Step 6: Final answer
    x = 4,576,413,032.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.