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Finding the Third Proportional to 162,236,905 and 247,441,647

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Solution

The third proportional to 162,236,905 and 247,441,647 is: 377,394,826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,236,905 : 247,441,647 = 247,441,647 : x
  2. Step 2: Convert to fraction form
    162,236,905/247,441,647 = 247,441,647/x
  3. Step 3: Cross multiply
    162,236,905x = 247,441,647 × 247,441,647
  4. Step 4: Simplify right side
    162,236,905x = 61,227,368,670,072,608
  5. Step 5: Solve for x
    x = 61,227,368,670,072,608/162,236,905
  6. Step 6: Final answer
    x = 377,394,826.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.