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Finding the Third Proportional to 2,192,266,428 and 3,167,446,404

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Solution

The third proportional to 2,192,266,428 and 3,167,446,404 is: 4,576,413,064.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192,266,428 : 3,167,446,404 = 3,167,446,404 : x
  2. Step 2: Convert to fraction form
    2,192,266,428/3,167,446,404 = 3,167,446,404/x
  3. Step 3: Cross multiply
    2,192,266,428x = 3,167,446,404 × 3,167,446,404
  4. Step 4: Simplify right side
    2,192,266,428x = 10,032,716,722,212,532,224
  5. Step 5: Solve for x
    x = 10,032,716,722,212,532,224/2,192,266,428
  6. Step 6: Final answer
    x = 4,576,413,064.61

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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.