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Finding the Third Proportional to 122,442,869 and 266,408,167

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Solution

The third proportional to 122,442,869 and 266,408,167 is: 579,644,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,442,869 : 266,408,167 = 266,408,167 : x
  2. Step 2: Convert to fraction form
    122,442,869/266,408,167 = 266,408,167/x
  3. Step 3: Cross multiply
    122,442,869x = 266,408,167 × 266,408,167
  4. Step 4: Simplify right side
    122,442,869x = 70,973,311,444,299,888
  5. Step 5: Solve for x
    x = 70,973,311,444,299,888/122,442,869
  6. Step 6: Final answer
    x = 579,644,302.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.