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Finding the Third Proportional to 113,408,123 and 247,342,348

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Solution

The third proportional to 113,408,123 and 247,342,348 is: 539,451,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,408,123 : 247,342,348 = 247,342,348 : x
  2. Step 2: Convert to fraction form
    113,408,123/247,342,348 = 247,342,348/x
  3. Step 3: Cross multiply
    113,408,123x = 247,342,348 × 247,342,348
  4. Step 4: Simplify right side
    113,408,123x = 61,178,237,114,153,104
  5. Step 5: Solve for x
    x = 61,178,237,114,153,104/113,408,123
  6. Step 6: Final answer
    x = 539,451,985.41

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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.