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Finding the Third Proportional to 122,442,871 and 266,408,171

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Solution

The third proportional to 122,442,871 and 266,408,171 is: 579,644,310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,442,871 : 266,408,171 = 266,408,171 : x
  2. Step 2: Convert to fraction form
    122,442,871/266,408,171 = 266,408,171/x
  3. Step 3: Cross multiply
    122,442,871x = 266,408,171 × 266,408,171
  4. Step 4: Simplify right side
    122,442,871x = 70,973,313,575,565,240
  5. Step 5: Solve for x
    x = 70,973,313,575,565,240/122,442,871
  6. Step 6: Final answer
    x = 579,644,310.82

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