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Finding the Third Proportional to 48,077,562 and 113,378,394

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Solution

The third proportional to 48,077,562 and 113,378,394 is: 267,373,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,077,562 : 113,378,394 = 113,378,394 : x
  2. Step 2: Convert to fraction form
    48,077,562/113,378,394 = 113,378,394/x
  3. Step 3: Cross multiply
    48,077,562x = 113,378,394 × 113,378,394
  4. Step 4: Simplify right side
    48,077,562x = 12,854,660,226,019,236
  5. Step 5: Solve for x
    x = 12,854,660,226,019,236/48,077,562
  6. Step 6: Final answer
    x = 267,373,379.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.