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Finding the Third Proportional to 6,449,248 and 9,640,144

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Solution

The third proportional to 6,449,248 and 9,640,144 is: 14,409,800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449,248 : 9,640,144 = 9,640,144 : x
  2. Step 2: Convert to fraction form
    6,449,248/9,640,144 = 9,640,144/x
  3. Step 3: Cross multiply
    6,449,248x = 9,640,144 × 9,640,144
  4. Step 4: Simplify right side
    6,449,248x = 92,932,376,340,736
  5. Step 5: Solve for x
    x = 92,932,376,340,736/6,449,248
  6. Step 6: Final answer
    x = 14,409,800.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.