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Finding the Third Proportional to 2,192,266,960 and 3,167,447,160

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Solution

The third proportional to 2,192,266,960 and 3,167,447,160 is: 4,576,414,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192,266,960 : 3,167,447,160 = 3,167,447,160 : x
  2. Step 2: Convert to fraction form
    2,192,266,960/3,167,447,160 = 3,167,447,160/x
  3. Step 3: Cross multiply
    2,192,266,960x = 3,167,447,160 × 3,167,447,160
  4. Step 4: Simplify right side
    2,192,266,960x = 10,032,721,511,392,065,536
  5. Step 5: Solve for x
    x = 10,032,721,511,392,065,536/2,192,266,960
  6. Step 6: Final answer
    x = 4,576,414,138.63

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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.